z_misc_densela Module Reference

Functions/Subroutines
subroutine	z_blacs_gridinfo_wrp (ctxt, nprow, npcol, myrow, mycol)
real(kind=8) function	z_fnorm (Matrix, M, N, norm)
subroutine	z_descinit_wp (DESC, M, N, MB, NB, IRSRC, ICSRC, ICTXT, LLD, INFO)
integer function	z_numroc_wp (n, nb, iproc, isrcproc, nprocs)
pure subroutine	z_g2l (i, n, np, nb, p, il)
pure subroutine	z_l2g (il, p, n, np, nb, i)
real(kind=8) function	z_dlangef90 (Matrix, M, N, norm)
real(kind=4) function	z_slangef90 (Matrix, M, N, norm)
real(kind=8) function	z_zlangef90 (Matrix, M, N, norm)
real(kind=4) function	z_clangef90 (Matrix, M, N, norm)
real(kind=8) function	z_pfnorm (M, N, Matrix, ia, ja, desca, norm)
subroutine	z_gesvd_robust (Matrix, Singular, UU, VV, mm, nn, mn_min, flop)
subroutine	z_gesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	z_zgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	z_cgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	z_dgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	z_sgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	z_gesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	z_zgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	z_cgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	z_dgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	z_sgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	z_geqrff90 (Matrix, tau, flop)
subroutine	z_zgeqrff90 (Matrix, tau, flop)
subroutine	z_cgeqrff90 (Matrix, tau, flop)
subroutine	z_dgeqrff90 (Matrix, tau, flop)
subroutine	z_sgeqrff90 (Matrix, tau, flop)
subroutine	z_geqp3f90 (Matrix, jpvt, tau, flop)
subroutine	z_zgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	z_cgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	z_dgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	z_sgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	z_geqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	z_dgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	z_sgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	z_zgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	z_cgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	z_un_or_mqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	z_dormqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	z_sormqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	z_zunmqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	z_cunmqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	z_un_or_gqrf90 (Matrix, tau, m, n, k, flop)
subroutine	z_pun_or_gqrf90 (ctxt, Matrix, tau, m, n, k, desca, ia, ja, flop)
subroutine	z_dorgqrf90 (Matrix, tau, m, n, k, flop)
subroutine	z_sorgqrf90 (Matrix, tau, m, n, k, flop)
subroutine	z_zungqrf90 (Matrix, tau, m, n, k, flop)
subroutine	z_cungqrf90 (Matrix, tau, m, n, k, flop)
subroutine	z_getrff90 (Matrix, ipiv, flop)
subroutine	z_zgetrff90 (Matrix, ipiv, flop)
subroutine	z_getrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	z_dgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	z_sgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	z_zgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	z_cgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	z_getrif90 (Matrix, ipiv, flop)
subroutine	z_dgetrif90 (Matrix, ipiv, flop)
subroutine	z_sgetrif90 (Matrix, ipiv, flop)
subroutine	z_zgetrif90 (Matrix, ipiv, flop)
subroutine	z_cgetrif90 (Matrix, ipiv, flop)
subroutine	z_trsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	z_dtrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	z_strsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	z_ztrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	z_ctrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	z_gemmf90 (MatA, lda, MatB, ldb, MatC, ldc, transa, transb, m, n, k, alpha, beta, flop)
subroutine	z_pun_or_mqrf90 (side, trans, m, n, k, MatA, ia, ja, desca, tau, MatC, ic, jc, descc, flop)
subroutine	z_pgeqrff90 (M, N, Matrix, ia, ja, desca, tau, flop)
subroutine	z_pgeqpfmodf90 (M, N, Matrix, ia, ja, desca, ipiv, tau, JPERM, jpiv, rank, rtol, atol, flop)
subroutine	z_pgemr2df90 (M, N, MatA, ia, ja, desca, MatB, ib, jb, descb, ictxt)
subroutine	z_pgemmf90 (transa, transb, m, n, k, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc, flop)
subroutine	z_ptrsmf90 (side, uplo, transa, diag, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, flop)
subroutine	z_pgetrff90 (m, n, a, ia, ja, desca, ipiv, info, flop)
subroutine	z_pgetrif90 (n, a, ia, ja, desca, ipiv, flop)
subroutine	z_pgesvdf90 (jobu, jobvt, m, n, a, ia, ja, desca, s, u, iu, ju, descu, vt, ivt, jvt, descvt, flop)
subroutine	z_zgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	z_cgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	z_dgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	z_sgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	z_geeigf90 (Matrix, N, eigval, Q, flops)
subroutine	z_pgeeigf90 (Matrix, N, desca, eigval, Q, ctxt, ctxt_head, flops)
real(kind=8) function	z_flops_zgesdd (m, n)
real(kind=8) function	z_flops_dgesdd (m, n)
real(kind=8) function	z_flops_zgesvd (m, n)
real(kind=8) function	z_flops_dgesvd (m, n)
real(kind=8) function	z_flops_dgeqpfmod (m, n, k)
real(kind=8) function	z_flops_zgeqpfmod (m, n, k)
real(kind=8) function	z_fmuls_geqrf (m, n)
real(kind=8) function	z_fadds_geqrf (m, n)
real(kind=8) function	z_flops_zgeqrf (m, n)
real(kind=8) function	z_flops_dgeqrf (m, n)
real(kind=8) function	z_fmuls_ungqr (m, n, k)
real(kind=8) function	z_fadds_ungqr (m, n, k)
real(kind=8) function	z_flops_zungqr (m, n, k)
real(kind=8) function	z_flops_dungqr (m, n, k)
real(kind=8) function	z_fmuls_unmqr (side, m, n, k)
real(kind=8) function	z_fadds_unmqr (side, m, n, k)
real(kind=8) function	z_flops_zunmqr (side, m, n, k)
real(kind=8) function	z_flops_dunmqr (side, m, n, k)
real(kind=8) function	z_fmuls_getrf (m, n)
real(kind=8) function	z_fadds_getrf (m, n)
real(kind=8) function	z_flops_zgetrf (m, n)
real(kind=8) function	z_flops_dgetrf (m, n)
real(kind=8) function	z_fmuls_getrs (n, nrhs)
real(kind=8) function	z_fadds_getrs (n, nrhs)
real(kind=8) function	z_flops_zgetrs (n, nrhs)
real(kind=8) function	z_flops_dgetrs (n, nrhs)
real(kind=8) function	z_fmuls_getri (n)
real(kind=8) function	z_fadds_getri (n)
real(kind=8) function	z_flops_zgetri (n)
real(kind=8) function	z_flops_dgetri (n)
real(kind=8) function	z_fmuls_trsm (side, m, n)
real(kind=8) function	z_fadds_trsm (side, m, n)
real(kind=8) function	z_flops_ztrsm (side, m, n)
real(kind=8) function	z_flops_dtrsm (side, m, n)
real(kind=8) function	z_fmuls_gemm (m, n, k)
real(kind=8) function	z_fadds_gemm (m, n, k)
real(kind=8) function	z_flops_gemm (m, n, k)

Function/Subroutine Documentation

z_blacs_gridinfo_wrp()

subroutine z_misc_densela::z_blacs_gridinfo_wrp	(	integer	ctxt,
		integer	nprow,
		integer	npcol,
		integer	myrow,
		integer	mycol
	)

z_cgeevf90()

subroutine z_misc_densela::z_cgeevf90	(	character	JOBVL,
		character	JOBVR,
		integer	N,
		complex(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:)	eigval,
		complex(kind=4), dimension(:,:)	VL,
		complex(kind=4), dimension(:,:)	VR,
		real(kind=8), optional	flop
	)

z_cgeqp3f90()

subroutine z_misc_densela::z_cgeqp3f90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_cgeqp3modf90()

subroutine z_misc_densela::z_cgeqp3modf90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=4), dimension(:)	tau,
		real(kind=4)	rtol,
		real(kind=4)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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z_cgeqrff90()

subroutine z_misc_densela::z_cgeqrff90	(	complex(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_cgesddf90()

subroutine z_misc_densela::z_cgesddf90	(	complex(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	Singular,
		complex(kind=4), dimension(:, :)	UU,
		complex(kind=4), dimension(:, :)	VV,
		integer	INFO,
		real(kind=8), optional	flop
	)

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z_cgesvdf90()

subroutine z_misc_densela::z_cgesvdf90	(	complex(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	Singular,
		complex(kind=4), dimension(:, :)	UU,
		complex(kind=4), dimension(:, :)	VV,
		real(kind=8), optional	flop
	)

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z_cgetrif90()

subroutine z_misc_densela::z_cgetrif90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_cgetrsf90()

subroutine z_misc_densela::z_cgetrsf90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		complex(kind=4), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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z_clangef90()

real(kind=4) function z_misc_densela::z_clangef90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

z_ctrsmf90()

subroutine z_misc_densela::z_ctrsmf90	(	complex(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:, :)	B,
		character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=8), optional	flop
	)

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z_cungqrf90()

subroutine z_misc_densela::z_cungqrf90	(	complex(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_cunmqrf90()

subroutine z_misc_densela::z_cunmqrf90	(	complex(kind=4), dimension(:, :)	a,
		complex(kind=4), dimension(:)	tau,
		complex(kind=4), dimension(:, :)	c,
		character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_descinit_wp()

subroutine z_misc_densela::z_descinit_wp	(	integer, dimension(9)	DESC,
		integer	M,
		integer	N,
		integer	MB,
		integer	NB,
		integer	IRSRC,
		integer	ICSRC,
		integer	ICTXT,
		integer	LLD,
		integer	INFO
	)

z_dgeevf90()

subroutine z_misc_densela::z_dgeevf90	(	character	JOBVL,
		character	JOBVR,
		integer	N,
		real(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	eigval,
		real(kind=8), dimension(:,:)	VL,
		real(kind=8), dimension(:,:)	VR,
		real(kind=8), optional	flop
	)

z_dgeqp3f90()

subroutine z_misc_densela::z_dgeqp3f90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_dgeqp3modf90()

subroutine z_misc_densela::z_dgeqp3modf90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=8), dimension(:)	tau,
		real(kind=8)	rtol,
		real(kind=8)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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z_dgeqrff90()

subroutine z_misc_densela::z_dgeqrff90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_dgesddf90()

subroutine z_misc_densela::z_dgesddf90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		real(kind=8), dimension(:, :)	UU,
		real(kind=8), dimension(:, :)	VV,
		integer	INFO,
		real(kind=8), optional	flop
	)

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z_dgesvdf90()

subroutine z_misc_densela::z_dgesvdf90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		real(kind=8), dimension(:, :)	UU,
		real(kind=8), dimension(:, :)	VV,
		real(kind=8), optional	flop
	)

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z_dgetrif90()

subroutine z_misc_densela::z_dgetrif90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_dgetrsf90()

subroutine z_misc_densela::z_dgetrsf90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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z_dlangef90()

real(kind=8) function z_misc_densela::z_dlangef90	(	real(kind=8), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

z_dorgqrf90()

subroutine z_misc_densela::z_dorgqrf90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_dormqrf90()

subroutine z_misc_densela::z_dormqrf90	(	real(kind=8), dimension(:, :)	a,
		real(kind=8), dimension(:)	tau,
		real(kind=8), dimension(:, :)	c,
		character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_dtrsmf90()

subroutine z_misc_densela::z_dtrsmf90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:, :)	B,
		character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=8), optional	flop
	)

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z_fadds_gemm()

real(kind=8) function z_misc_densela::z_fadds_gemm	(	integer	m,
		integer	n,
		integer	k
	)

z_fadds_geqrf()

real(kind=8) function z_misc_densela::z_fadds_geqrf	(	integer	m,
		integer	n
	)

z_fadds_getrf()

real(kind=8) function z_misc_densela::z_fadds_getrf	(	integer	m,
		integer	n
	)

z_fadds_getri()

real(kind=8) function z_misc_densela::z_fadds_getri

(

integer

n

)

z_fadds_getrs()

real(kind=8) function z_misc_densela::z_fadds_getrs	(	integer	n,
		integer	nrhs
	)

z_fadds_trsm()

real(kind=8) function z_misc_densela::z_fadds_trsm	(	character	side,
		integer	m,
		integer	n
	)

z_fadds_ungqr()

real(kind=8) function z_misc_densela::z_fadds_ungqr	(	integer	m,
		integer	n,
		integer	k
	)

z_fadds_unmqr()

real(kind=8) function z_misc_densela::z_fadds_unmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

z_flops_dgeqpfmod()

real(kind=8) function z_misc_densela::z_flops_dgeqpfmod	(	integer	m,
		integer	n,
		integer	k
	)

z_flops_dgeqrf()

real(kind=8) function z_misc_densela::z_flops_dgeqrf	(	integer	m,
		integer	n
	)

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z_flops_dgesdd()

real(kind=8) function z_misc_densela::z_flops_dgesdd	(	integer	m,
		integer	n
	)

z_flops_dgesvd()

real(kind=8) function z_misc_densela::z_flops_dgesvd	(	integer	m,
		integer	n
	)

z_flops_dgetrf()

real(kind=8) function z_misc_densela::z_flops_dgetrf	(	integer	m,
		integer	n
	)

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z_flops_dgetri()

real(kind=8) function z_misc_densela::z_flops_dgetri

(

integer

n

)

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z_flops_dgetrs()

real(kind=8) function z_misc_densela::z_flops_dgetrs	(	integer	n,
		integer	nrhs
	)

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z_flops_dtrsm()

real(kind=8) function z_misc_densela::z_flops_dtrsm	(	character	side,
		integer	m,
		integer	n
	)

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z_flops_dungqr()

real(kind=8) function z_misc_densela::z_flops_dungqr	(	integer	m,
		integer	n,
		integer	k
	)

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z_flops_dunmqr()

real(kind=8) function z_misc_densela::z_flops_dunmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

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z_flops_gemm()

real(kind=8) function z_misc_densela::z_flops_gemm	(	integer	m,
		integer	n,
		integer	k
	)

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z_flops_zgeqpfmod()

real(kind=8) function z_misc_densela::z_flops_zgeqpfmod	(	integer	m,
		integer	n,
		integer	k
	)

z_flops_zgeqrf()

real(kind=8) function z_misc_densela::z_flops_zgeqrf	(	integer	m,
		integer	n
	)

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z_flops_zgesdd()

real(kind=8) function z_misc_densela::z_flops_zgesdd	(	integer	m,
		integer	n
	)

z_flops_zgesvd()

real(kind=8) function z_misc_densela::z_flops_zgesvd	(	integer	m,
		integer	n
	)

z_flops_zgetrf()

real(kind=8) function z_misc_densela::z_flops_zgetrf	(	integer	m,
		integer	n
	)

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z_flops_zgetri()

real(kind=8) function z_misc_densela::z_flops_zgetri

(

integer

n

)

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z_flops_zgetrs()

real(kind=8) function z_misc_densela::z_flops_zgetrs	(	integer	n,
		integer	nrhs
	)

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z_flops_ztrsm()

real(kind=8) function z_misc_densela::z_flops_ztrsm	(	character	side,
		integer	m,
		integer	n
	)

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z_flops_zungqr()

real(kind=8) function z_misc_densela::z_flops_zungqr	(	integer	m,
		integer	n,
		integer	k
	)

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z_flops_zunmqr()

real(kind=8) function z_misc_densela::z_flops_zunmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

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z_fmuls_gemm()

real(kind=8) function z_misc_densela::z_fmuls_gemm	(	integer	m,
		integer	n,
		integer	k
	)

z_fmuls_geqrf()

real(kind=8) function z_misc_densela::z_fmuls_geqrf	(	integer	m,
		integer	n
	)

z_fmuls_getrf()

real(kind=8) function z_misc_densela::z_fmuls_getrf	(	integer	m,
		integer	n
	)

z_fmuls_getri()

real(kind=8) function z_misc_densela::z_fmuls_getri

(

integer

n

)

z_fmuls_getrs()

real(kind=8) function z_misc_densela::z_fmuls_getrs	(	integer	n,
		integer	nrhs
	)

z_fmuls_trsm()

real(kind=8) function z_misc_densela::z_fmuls_trsm	(	character	side,
		integer	m,
		integer	n
	)

z_fmuls_ungqr()

real(kind=8) function z_misc_densela::z_fmuls_ungqr	(	integer	m,
		integer	n,
		integer	k
	)

z_fmuls_unmqr()

real(kind=8) function z_misc_densela::z_fmuls_unmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

z_fnorm()

real(kind=8) function z_misc_densela::z_fnorm	(	complex(kind=8), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

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z_g2l()

pure subroutine z_misc_densela::z_g2l	(	integer, intent(in)	i,
		integer, intent(in)	n,
		integer, intent(in)	np,
		integer, intent(in)	nb,
		integer, intent(out)	p,
		integer, intent(out)	il
	)

z_geeigf90()

subroutine z_misc_densela::z_geeigf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer	N,
		complex(kind=8), dimension(:)	eigval,
		complex(kind=8), dimension(:,:)	Q,
		real(kind=8), optional	flops
	)

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z_gemmf90()

subroutine z_misc_densela::z_gemmf90	(	complex(kind=8), dimension(lda, *)	MatA,
		integer	lda,
		complex(kind=8), dimension(ldb, *)	MatB,
		integer	ldb,
		complex(kind=8), dimension(ldc, *)	MatC,
		integer	ldc,
		character	transa,
		character	transb,
		integer	m,
		integer	n,
		integer	k,
		complex(kind=8)	alpha,
		complex(kind=8)	beta,
		real(kind=8), optional	flop
	)

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z_geqp3f90()

subroutine z_misc_densela::z_geqp3f90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_geqp3modf90()

subroutine z_misc_densela::z_geqp3modf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=8), dimension(:)	tau,
		real(kind=8)	rtol,
		real(kind=8)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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z_geqrff90()

subroutine z_misc_densela::z_geqrff90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_gesddf90()

subroutine z_misc_densela::z_gesddf90	(	complex(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		complex(kind=8), dimension(:, :)	UU,
		complex(kind=8), dimension(:, :)	VV,
		integer	INFO,
		real(kind=8), optional	flop
	)

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z_gesvd_robust()

subroutine z_misc_densela::z_gesvd_robust	(	complex(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		complex(kind=8), dimension(:, :)	UU,
		complex(kind=8), dimension(:, :)	VV,
		integer	mm,
		integer	nn,
		integer	mn_min,
		real(kind=8), optional	flop
	)

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z_gesvdf90()

subroutine z_misc_densela::z_gesvdf90	(	complex(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		complex(kind=8), dimension(:, :)	UU,
		complex(kind=8), dimension(:, :)	VV,
		real(kind=8), optional	flop
	)

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z_getrff90()

subroutine z_misc_densela::z_getrff90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_getrif90()

subroutine z_misc_densela::z_getrif90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_getrsf90()

subroutine z_misc_densela::z_getrsf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		complex(kind=8), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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z_l2g()

pure subroutine z_misc_densela::z_l2g	(	integer, intent(in)	il,
		integer, intent(in)	p,
		integer, intent(in)	n,
		integer, intent(in)	np,
		integer, intent(in)	nb,
		integer, intent(out)	i
	)

z_numroc_wp()

integer function z_misc_densela::z_numroc_wp	(	integer	n,
		integer	nb,
		integer	iproc,
		integer	isrcproc,
		integer	nprocs
	)

z_pfnorm()

real(kind=8) function z_misc_densela::z_pfnorm	(	integer	M,
		integer	N,
		complex(kind=8), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		character, optional	norm
	)

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z_pgeeigf90()

subroutine z_misc_densela::z_pgeeigf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer	N,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:)	eigval,
		complex(kind=8), dimension(:,:)	Q,
		integer	ctxt,
		integer	ctxt_head,
		real(kind=8), optional	flops
	)

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z_pgemmf90()

subroutine z_misc_densela::z_pgemmf90	(	character	transa,
		character	transb,
		integer	m,
		integer	n,
		integer	k,
		complex(kind=8)	alpha,
		complex(kind=8), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:, :)	b,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		complex(kind=8)	beta,
		complex(kind=8), dimension(:, :)	c,
		integer	ic,
		integer	jc,
		integer, dimension(9)	descc,
		real(kind=8), optional	flop
	)

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z_pgemr2df90()

subroutine z_misc_densela::z_pgemr2df90	(	integer	M,
		integer	N,
		complex(kind=8), dimension(:, :)	MatA,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:, :)	MatB,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		integer	ictxt
	)

z_pgeqpfmodf90()

subroutine z_misc_densela::z_pgeqpfmodf90	(	integer	M,
		integer	N,
		complex(kind=8), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		complex(kind=8), dimension(:)	tau,
		integer, dimension(:)	JPERM,
		integer, dimension(:)	jpiv,
		integer	rank,
		real(kind=8)	rtol,
		real(kind=8)	atol,
		real(kind=8), optional	flop
	)

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z_pgeqrff90()

subroutine z_misc_densela::z_pgeqrff90	(	integer	M,
		integer	N,
		complex(kind=8), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_pgesvdf90()

subroutine z_misc_densela::z_pgesvdf90	(	character	jobu,
		character	jobvt,
		integer	m,
		integer	n,
		complex(kind=8), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=8), dimension(:)	s,
		complex(kind=8), dimension(:, :)	u,
		integer	iu,
		integer	ju,
		integer, dimension(9)	descu,
		complex(kind=8), dimension(:, :)	vt,
		integer	ivt,
		integer	jvt,
		integer, dimension(9)	descvt,
		real(kind=8), optional	flop
	)

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z_pgetrff90()

subroutine z_misc_densela::z_pgetrff90	(	integer	m,
		integer	n,
		complex(kind=8), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		integer	info,
		real(kind=8), optional	flop
	)

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z_pgetrif90()

subroutine z_misc_densela::z_pgetrif90	(	integer	n,
		complex(kind=8), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_ptrsmf90()

subroutine z_misc_densela::z_ptrsmf90	(	character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		complex(kind=8)	alpha,
		complex(kind=8), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:, :)	b,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		real(kind=8), optional	flop
	)

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z_pun_or_gqrf90()

subroutine z_misc_densela::z_pun_or_gqrf90	(	integer	ctxt,
		complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		integer, dimension(9)	desca,
		integer	ia,
		integer	ja,
		real(kind=8), optional	flop
	)

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z_pun_or_mqrf90()

subroutine z_misc_densela::z_pun_or_mqrf90	(	character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		complex(kind=8), dimension(:, :)	MatA,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		complex(kind=8), dimension(:)	tau,
		complex(kind=8), dimension(:, :)	MatC,
		integer	ic,
		integer	jc,
		integer, dimension(9)	descc,
		real(kind=8), optional	flop
	)

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z_sgeevf90()

subroutine z_misc_densela::z_sgeevf90	(	character	JOBVL,
		character	JOBVR,
		integer	N,
		real(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:)	eigval,
		real(kind=4), dimension(:,:)	VL,
		real(kind=4), dimension(:,:)	VR,
		real(kind=8), optional	flop
	)

z_sgeqp3f90()

subroutine z_misc_densela::z_sgeqp3f90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_sgeqp3modf90()

subroutine z_misc_densela::z_sgeqp3modf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=4), dimension(:)	tau,
		real(kind=4)	rtol,
		real(kind=4)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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z_sgeqrff90()

subroutine z_misc_densela::z_sgeqrff90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_sgesddf90()

subroutine z_misc_densela::z_sgesddf90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	Singular,
		real(kind=4), dimension(:, :)	UU,
		real(kind=4), dimension(:, :)	VV,
		integer	INFO,
		real(kind=8), optional	flop
	)

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z_sgesvdf90()

subroutine z_misc_densela::z_sgesvdf90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	Singular,
		real(kind=4), dimension(:, :)	UU,
		real(kind=4), dimension(:, :)	VV,
		real(kind=8), optional	flop
	)

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z_sgetrif90()

subroutine z_misc_densela::z_sgetrif90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_sgetrsf90()

subroutine z_misc_densela::z_sgetrsf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=4), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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z_slangef90()

real(kind=4) function z_misc_densela::z_slangef90	(	real(kind=4), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

z_sorgqrf90()

subroutine z_misc_densela::z_sorgqrf90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_sormqrf90()

subroutine z_misc_densela::z_sormqrf90	(	real(kind=4), dimension(:, :)	a,
		real(kind=4), dimension(:)	tau,
		real(kind=4), dimension(:, :)	c,
		character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_strsmf90()

subroutine z_misc_densela::z_strsmf90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:, :)	B,
		character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=8), optional	flop
	)

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z_trsmf90()

subroutine z_misc_densela::z_trsmf90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:, :)	B,
		character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=8), optional	flop
	)

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z_un_or_gqrf90()

subroutine z_misc_densela::z_un_or_gqrf90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_un_or_mqrf90()

subroutine z_misc_densela::z_un_or_mqrf90	(	complex(kind=8), dimension(:, :)	a,
		complex(kind=8), dimension(:)	tau,
		complex(kind=8), dimension(:, :)	c,
		character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_zgeevf90()

subroutine z_misc_densela::z_zgeevf90	(	character	JOBVL,
		character	JOBVR,
		integer	N,
		complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	eigval,
		complex(kind=8), dimension(:,:)	VL,
		complex(kind=8), dimension(:,:)	VR,
		real(kind=8), optional	flop
	)

z_zgeqp3f90()

subroutine z_misc_densela::z_zgeqp3f90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_zgeqp3modf90()

subroutine z_misc_densela::z_zgeqp3modf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=8), dimension(:)	tau,
		real(kind=8)	rtol,
		real(kind=8)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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z_zgeqrff90()

subroutine z_misc_densela::z_zgeqrff90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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z_zgesddf90()

subroutine z_misc_densela::z_zgesddf90	(	complex(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		complex(kind=8), dimension(:, :)	UU,
		complex(kind=8), dimension(:, :)	VV,
		integer	INFO,
		real(kind=8), optional	flop
	)

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z_zgesvdf90()

subroutine z_misc_densela::z_zgesvdf90	(	complex(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	Singular,
		complex(kind=8), dimension(:, :)	UU,
		complex(kind=8), dimension(:, :)	VV,
		real(kind=8), optional	flop
	)

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z_zgetrff90()

subroutine z_misc_densela::z_zgetrff90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_zgetrif90()

subroutine z_misc_densela::z_zgetrif90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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z_zgetrsf90()

subroutine z_misc_densela::z_zgetrsf90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		complex(kind=8), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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z_zlangef90()

real(kind=8) function z_misc_densela::z_zlangef90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

z_ztrsmf90()

subroutine z_misc_densela::z_ztrsmf90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:, :)	B,
		character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=8), optional	flop
	)

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z_zungqrf90()

subroutine z_misc_densela::z_zungqrf90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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z_zunmqrf90()

subroutine z_misc_densela::z_zunmqrf90	(	complex(kind=8), dimension(:, :)	a,
		complex(kind=8), dimension(:)	tau,
		complex(kind=8), dimension(:, :)	c,
		character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=8), optional	flop
	)

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