s_misc_densela Module Reference

Functions/Subroutines
subroutine	s_blacs_gridinfo_wrp (ctxt, nprow, npcol, myrow, mycol)
real(kind=4) function	s_fnorm (Matrix, M, N, norm)
subroutine	s_descinit_wp (DESC, M, N, MB, NB, IRSRC, ICSRC, ICTXT, LLD, INFO)
integer function	s_numroc_wp (n, nb, iproc, isrcproc, nprocs)
pure subroutine	s_g2l (i, n, np, nb, p, il)
pure subroutine	s_l2g (il, p, n, np, nb, i)
real(kind=8) function	s_dlangef90 (Matrix, M, N, norm)
real(kind=4) function	s_slangef90 (Matrix, M, N, norm)
real(kind=8) function	s_zlangef90 (Matrix, M, N, norm)
real(kind=4) function	s_clangef90 (Matrix, M, N, norm)
real(kind=8) function	s_pfnorm (M, N, Matrix, ia, ja, desca, norm)
subroutine	s_gesvd_robust (Matrix, Singular, UU, VV, mm, nn, mn_min, flop)
subroutine	s_gesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	s_zgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	s_cgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	s_dgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	s_sgesvdf90 (Matrix, Singular, UU, VV, flop)
subroutine	s_gesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	s_zgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	s_cgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	s_dgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	s_sgesddf90 (Matrix, Singular, UU, VV, INFO, flop)
subroutine	s_geqrff90 (Matrix, tau, flop)
subroutine	s_zgeqrff90 (Matrix, tau, flop)
subroutine	s_cgeqrff90 (Matrix, tau, flop)
subroutine	s_dgeqrff90 (Matrix, tau, flop)
subroutine	s_sgeqrff90 (Matrix, tau, flop)
subroutine	s_geqp3f90 (Matrix, jpvt, tau, flop)
subroutine	s_zgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	s_cgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	s_dgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	s_sgeqp3f90 (Matrix, jpvt, tau, flop)
subroutine	s_geqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	s_dgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	s_sgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	s_zgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	s_cgeqp3modf90 (Matrix, jpvt, tau, rtol, atol, rank, flop)
subroutine	s_un_or_mqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	s_dormqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	s_sormqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	s_zunmqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	s_cunmqrf90 (a, tau, c, side, trans, m, n, k, flop)
subroutine	s_un_or_gqrf90 (Matrix, tau, m, n, k, flop)
subroutine	s_pun_or_gqrf90 (ctxt, Matrix, tau, m, n, k, desca, ia, ja, flop)
subroutine	s_dorgqrf90 (Matrix, tau, m, n, k, flop)
subroutine	s_sorgqrf90 (Matrix, tau, m, n, k, flop)
subroutine	s_zungqrf90 (Matrix, tau, m, n, k, flop)
subroutine	s_cungqrf90 (Matrix, tau, m, n, k, flop)
subroutine	s_getrff90 (Matrix, ipiv, flop)
subroutine	s_sgetrff90 (Matrix, ipiv, flop)
subroutine	s_getrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	s_dgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	s_sgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	s_zgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	s_cgetrsf90 (Matrix, ipiv, B, trans, flop)
subroutine	s_getrif90 (Matrix, ipiv, flop)
subroutine	s_dgetrif90 (Matrix, ipiv, flop)
subroutine	s_sgetrif90 (Matrix, ipiv, flop)
subroutine	s_zgetrif90 (Matrix, ipiv, flop)
subroutine	s_cgetrif90 (Matrix, ipiv, flop)
subroutine	s_trsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	s_dtrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	s_strsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	s_ztrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	s_ctrsmf90 (Matrix, B, side, uplo, transa, diag, m, n, flop)
subroutine	s_gemmf90 (MatA, lda, MatB, ldb, MatC, ldc, transa, transb, m, n, k, alpha, beta, flop)
subroutine	s_pun_or_mqrf90 (side, trans, m, n, k, MatA, ia, ja, desca, tau, MatC, ic, jc, descc, flop)
subroutine	s_pgeqrff90 (M, N, Matrix, ia, ja, desca, tau, flop)
subroutine	s_pgeqpfmodf90 (M, N, Matrix, ia, ja, desca, ipiv, tau, JPERM, jpiv, rank, rtol, atol, flop)
subroutine	s_pgemr2df90 (M, N, MatA, ia, ja, desca, MatB, ib, jb, descb, ictxt)
subroutine	s_pgemmf90 (transa, transb, m, n, k, alpha, a, ia, ja, desca, b, ib, jb, descb, beta, c, ic, jc, descc, flop)
subroutine	s_ptrsmf90 (side, uplo, transa, diag, m, n, alpha, a, ia, ja, desca, b, ib, jb, descb, flop)
subroutine	s_pgetrff90 (m, n, a, ia, ja, desca, ipiv, info, flop)
subroutine	s_pgetrif90 (n, a, ia, ja, desca, ipiv, flop)
subroutine	s_pgesvdf90 (jobu, jobvt, m, n, a, ia, ja, desca, s, u, iu, ju, descu, vt, ivt, jvt, descvt, flop)
subroutine	s_zgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	s_cgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	s_dgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	s_sgeevf90 (JOBVL, JOBVR, N, Matrix, eigval, VL, VR, flop)
subroutine	s_geeigf90 (Matrix, N, eigval, Q, flops)
subroutine	s_pgeeigf90 (Matrix, N, desca, eigval, Q, ctxt, ctxt_head, flops)
real(kind=8) function	s_flops_zgesdd (m, n)
real(kind=8) function	s_flops_dgesdd (m, n)
real(kind=8) function	s_flops_zgesvd (m, n)
real(kind=8) function	s_flops_dgesvd (m, n)
real(kind=8) function	s_flops_dgeqpfmod (m, n, k)
real(kind=8) function	s_flops_zgeqpfmod (m, n, k)
real(kind=8) function	s_fmuls_geqrf (m, n)
real(kind=8) function	s_fadds_geqrf (m, n)
real(kind=8) function	s_flops_zgeqrf (m, n)
real(kind=8) function	s_flops_dgeqrf (m, n)
real(kind=8) function	s_fmuls_ungqr (m, n, k)
real(kind=8) function	s_fadds_ungqr (m, n, k)
real(kind=8) function	s_flops_zungqr (m, n, k)
real(kind=8) function	s_flops_dungqr (m, n, k)
real(kind=8) function	s_fmuls_unmqr (side, m, n, k)
real(kind=8) function	s_fadds_unmqr (side, m, n, k)
real(kind=8) function	s_flops_zunmqr (side, m, n, k)
real(kind=8) function	s_flops_dunmqr (side, m, n, k)
real(kind=8) function	s_fmuls_getrf (m, n)
real(kind=8) function	s_fadds_getrf (m, n)
real(kind=8) function	s_flops_zgetrf (m, n)
real(kind=8) function	s_flops_dgetrf (m, n)
real(kind=8) function	s_fmuls_getrs (n, nrhs)
real(kind=8) function	s_fadds_getrs (n, nrhs)
real(kind=8) function	s_flops_zgetrs (n, nrhs)
real(kind=8) function	s_flops_dgetrs (n, nrhs)
real(kind=8) function	s_fmuls_getri (n)
real(kind=8) function	s_fadds_getri (n)
real(kind=8) function	s_flops_zgetri (n)
real(kind=8) function	s_flops_dgetri (n)
real(kind=8) function	s_fmuls_trsm (side, m, n)
real(kind=8) function	s_fadds_trsm (side, m, n)
real(kind=8) function	s_flops_ztrsm (side, m, n)
real(kind=8) function	s_flops_dtrsm (side, m, n)
real(kind=8) function	s_fmuls_gemm (m, n, k)
real(kind=8) function	s_fadds_gemm (m, n, k)
real(kind=8) function	s_flops_gemm (m, n, k)

Function/Subroutine Documentation

s_blacs_gridinfo_wrp()

subroutine s_misc_densela::s_blacs_gridinfo_wrp	(	integer	ctxt,
		integer	nprow,
		integer	npcol,
		integer	myrow,
		integer	mycol
	)

s_cgeevf90()

subroutine s_misc_densela::s_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
	)

s_cgeqp3f90()

subroutine s_misc_densela::s_cgeqp3f90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_cgeqp3modf90()

subroutine s_misc_densela::s_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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s_cgeqrff90()

subroutine s_misc_densela::s_cgeqrff90	(	complex(kind=4), dimension(:, :)	Matrix,
		complex(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_cgesddf90()

subroutine s_misc_densela::s_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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s_cgesvdf90()

subroutine s_misc_densela::s_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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s_cgetrif90()

subroutine s_misc_densela::s_cgetrif90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_cgetrsf90()

subroutine s_misc_densela::s_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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s_clangef90()

real(kind=4) function s_misc_densela::s_clangef90	(	complex(kind=4), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

s_ctrsmf90()

subroutine s_misc_densela::s_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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s_cungqrf90()

subroutine s_misc_densela::s_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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s_cunmqrf90()

subroutine s_misc_densela::s_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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s_descinit_wp()

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

s_dgeevf90()

subroutine s_misc_densela::s_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
	)

s_dgeqp3f90()

subroutine s_misc_densela::s_dgeqp3f90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_dgeqp3modf90()

subroutine s_misc_densela::s_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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s_dgeqrff90()

subroutine s_misc_densela::s_dgeqrff90	(	real(kind=8), dimension(:, :)	Matrix,
		real(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_dgesddf90()

subroutine s_misc_densela::s_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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s_dgesvdf90()

subroutine s_misc_densela::s_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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s_dgetrif90()

subroutine s_misc_densela::s_dgetrif90	(	real(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_dgetrsf90()

subroutine s_misc_densela::s_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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s_dlangef90()

real(kind=8) function s_misc_densela::s_dlangef90	(	real(kind=8), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

s_dorgqrf90()

subroutine s_misc_densela::s_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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s_dormqrf90()

subroutine s_misc_densela::s_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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s_dtrsmf90()

subroutine s_misc_densela::s_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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s_fadds_gemm()

real(kind=8) function s_misc_densela::s_fadds_gemm	(	integer	m,
		integer	n,
		integer	k
	)

s_fadds_geqrf()

real(kind=8) function s_misc_densela::s_fadds_geqrf	(	integer	m,
		integer	n
	)

s_fadds_getrf()

real(kind=8) function s_misc_densela::s_fadds_getrf	(	integer	m,
		integer	n
	)

s_fadds_getri()

real(kind=8) function s_misc_densela::s_fadds_getri

(

integer

n

)

s_fadds_getrs()

real(kind=8) function s_misc_densela::s_fadds_getrs	(	integer	n,
		integer	nrhs
	)

s_fadds_trsm()

real(kind=8) function s_misc_densela::s_fadds_trsm	(	character	side,
		integer	m,
		integer	n
	)

s_fadds_ungqr()

real(kind=8) function s_misc_densela::s_fadds_ungqr	(	integer	m,
		integer	n,
		integer	k
	)

s_fadds_unmqr()

real(kind=8) function s_misc_densela::s_fadds_unmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

s_flops_dgeqpfmod()

real(kind=8) function s_misc_densela::s_flops_dgeqpfmod	(	integer	m,
		integer	n,
		integer	k
	)

s_flops_dgeqrf()

real(kind=8) function s_misc_densela::s_flops_dgeqrf	(	integer	m,
		integer	n
	)

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s_flops_dgesdd()

real(kind=8) function s_misc_densela::s_flops_dgesdd	(	integer	m,
		integer	n
	)

s_flops_dgesvd()

real(kind=8) function s_misc_densela::s_flops_dgesvd	(	integer	m,
		integer	n
	)

s_flops_dgetrf()

real(kind=8) function s_misc_densela::s_flops_dgetrf	(	integer	m,
		integer	n
	)

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s_flops_dgetri()

real(kind=8) function s_misc_densela::s_flops_dgetri

(

integer

n

)

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s_flops_dgetrs()

real(kind=8) function s_misc_densela::s_flops_dgetrs	(	integer	n,
		integer	nrhs
	)

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s_flops_dtrsm()

real(kind=8) function s_misc_densela::s_flops_dtrsm	(	character	side,
		integer	m,
		integer	n
	)

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s_flops_dungqr()

real(kind=8) function s_misc_densela::s_flops_dungqr	(	integer	m,
		integer	n,
		integer	k
	)

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s_flops_dunmqr()

real(kind=8) function s_misc_densela::s_flops_dunmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

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s_flops_gemm()

real(kind=8) function s_misc_densela::s_flops_gemm	(	integer	m,
		integer	n,
		integer	k
	)

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s_flops_zgeqpfmod()

real(kind=8) function s_misc_densela::s_flops_zgeqpfmod	(	integer	m,
		integer	n,
		integer	k
	)

s_flops_zgeqrf()

real(kind=8) function s_misc_densela::s_flops_zgeqrf	(	integer	m,
		integer	n
	)

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s_flops_zgesdd()

real(kind=8) function s_misc_densela::s_flops_zgesdd	(	integer	m,
		integer	n
	)

s_flops_zgesvd()

real(kind=8) function s_misc_densela::s_flops_zgesvd	(	integer	m,
		integer	n
	)

s_flops_zgetrf()

real(kind=8) function s_misc_densela::s_flops_zgetrf	(	integer	m,
		integer	n
	)

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s_flops_zgetri()

real(kind=8) function s_misc_densela::s_flops_zgetri

(

integer

n

)

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s_flops_zgetrs()

real(kind=8) function s_misc_densela::s_flops_zgetrs	(	integer	n,
		integer	nrhs
	)

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s_flops_ztrsm()

real(kind=8) function s_misc_densela::s_flops_ztrsm	(	character	side,
		integer	m,
		integer	n
	)

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s_flops_zungqr()

real(kind=8) function s_misc_densela::s_flops_zungqr	(	integer	m,
		integer	n,
		integer	k
	)

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s_flops_zunmqr()

real(kind=8) function s_misc_densela::s_flops_zunmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

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s_fmuls_gemm()

real(kind=8) function s_misc_densela::s_fmuls_gemm	(	integer	m,
		integer	n,
		integer	k
	)

s_fmuls_geqrf()

real(kind=8) function s_misc_densela::s_fmuls_geqrf	(	integer	m,
		integer	n
	)

s_fmuls_getrf()

real(kind=8) function s_misc_densela::s_fmuls_getrf	(	integer	m,
		integer	n
	)

s_fmuls_getri()

real(kind=8) function s_misc_densela::s_fmuls_getri

(

integer

n

)

s_fmuls_getrs()

real(kind=8) function s_misc_densela::s_fmuls_getrs	(	integer	n,
		integer	nrhs
	)

s_fmuls_trsm()

real(kind=8) function s_misc_densela::s_fmuls_trsm	(	character	side,
		integer	m,
		integer	n
	)

s_fmuls_ungqr()

real(kind=8) function s_misc_densela::s_fmuls_ungqr	(	integer	m,
		integer	n,
		integer	k
	)

s_fmuls_unmqr()

real(kind=8) function s_misc_densela::s_fmuls_unmqr	(	character	side,
		integer	m,
		integer	n,
		integer	k
	)

s_fnorm()

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

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s_g2l()

pure subroutine s_misc_densela::s_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
	)

s_geeigf90()

subroutine s_misc_densela::s_geeigf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer	N,
		complex(kind=4), dimension(:)	eigval,
		real(kind=4), dimension(:,:)	Q,
		real(kind=8), optional	flops
	)

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s_gemmf90()

subroutine s_misc_densela::s_gemmf90	(	real(kind=4), dimension(lda, *)	MatA,
		integer	lda,
		real(kind=4), dimension(ldb, *)	MatB,
		integer	ldb,
		real(kind=4), dimension(ldc, *)	MatC,
		integer	ldc,
		character	transa,
		character	transb,
		integer	m,
		integer	n,
		integer	k,
		real(kind=4)	alpha,
		real(kind=4)	beta,
		real(kind=8), optional	flop
	)

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s_geqp3f90()

subroutine s_misc_densela::s_geqp3f90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_geqp3modf90()

subroutine s_misc_densela::s_geqp3modf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=4), dimension(:)	tau,
		real(kind=8)	rtol,
		real(kind=8)	atol,
		integer	rank,
		real(kind=8), optional	flop
	)

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s_geqrff90()

subroutine s_misc_densela::s_geqrff90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_gesddf90()

subroutine s_misc_densela::s_gesddf90	(	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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s_gesvd_robust()

subroutine s_misc_densela::s_gesvd_robust	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	Singular,
		real(kind=4), dimension(:, :)	UU,
		real(kind=4), dimension(:, :)	VV,
		integer	mm,
		integer	nn,
		integer	mn_min,
		real(kind=8), optional	flop
	)

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s_gesvdf90()

subroutine s_misc_densela::s_gesvdf90	(	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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s_getrff90()

subroutine s_misc_densela::s_getrff90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_getrif90()

subroutine s_misc_densela::s_getrif90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_getrsf90()

subroutine s_misc_densela::s_getrsf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=4), dimension(:, :)	B,
		character	trans,
		real(kind=8), optional	flop
	)

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s_l2g()

pure subroutine s_misc_densela::s_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
	)

s_numroc_wp()

integer function s_misc_densela::s_numroc_wp	(	integer	n,
		integer	nb,
		integer	iproc,
		integer	isrcproc,
		integer	nprocs
	)

s_pfnorm()

real(kind=8) function s_misc_densela::s_pfnorm	(	integer	M,
		integer	N,
		real(kind=4), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		character, optional	norm
	)

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s_pgeeigf90()

subroutine s_misc_densela::s_pgeeigf90	(	real(kind=4), dimension(:, :)	Matrix,
		integer	N,
		integer, dimension(9)	desca,
		complex(kind=4), dimension(:)	eigval,
		real(kind=4), dimension(:,:)	Q,
		integer	ctxt,
		integer	ctxt_head,
		real(kind=8), optional	flops
	)

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s_pgemmf90()

subroutine s_misc_densela::s_pgemmf90	(	character	transa,
		character	transb,
		integer	m,
		integer	n,
		integer	k,
		real(kind=4)	alpha,
		real(kind=4), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:, :)	b,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		real(kind=4)	beta,
		real(kind=4), dimension(:, :)	c,
		integer	ic,
		integer	jc,
		integer, dimension(9)	descc,
		real(kind=8), optional	flop
	)

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s_pgemr2df90()

subroutine s_misc_densela::s_pgemr2df90	(	integer	M,
		integer	N,
		real(kind=4), dimension(:, :)	MatA,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:, :)	MatB,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		integer	ictxt
	)

s_pgeqpfmodf90()

subroutine s_misc_densela::s_pgeqpfmodf90	(	integer	M,
		integer	N,
		real(kind=4), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		real(kind=4), 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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s_pgeqrff90()

subroutine s_misc_densela::s_pgeqrff90	(	integer	M,
		integer	N,
		real(kind=4), dimension(:, :)	Matrix,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_pgesvdf90()

subroutine s_misc_densela::s_pgesvdf90	(	character	jobu,
		character	jobvt,
		integer	m,
		integer	n,
		real(kind=4), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:)	s,
		real(kind=4), dimension(:, :)	u,
		integer	iu,
		integer	ju,
		integer, dimension(9)	descu,
		real(kind=4), dimension(:, :)	vt,
		integer	ivt,
		integer	jvt,
		integer, dimension(9)	descvt,
		real(kind=8), optional	flop
	)

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s_pgetrff90()

subroutine s_misc_densela::s_pgetrff90	(	integer	m,
		integer	n,
		real(kind=4), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		integer	info,
		real(kind=8), optional	flop
	)

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s_pgetrif90()

subroutine s_misc_densela::s_pgetrif90	(	integer	n,
		real(kind=4), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_ptrsmf90()

subroutine s_misc_densela::s_ptrsmf90	(	character	side,
		character	uplo,
		character	transa,
		character	diag,
		integer	m,
		integer	n,
		real(kind=4)	alpha,
		real(kind=4), dimension(:, :)	a,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:, :)	b,
		integer	ib,
		integer	jb,
		integer, dimension(9)	descb,
		real(kind=8), optional	flop
	)

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s_pun_or_gqrf90()

subroutine s_misc_densela::s_pun_or_gqrf90	(	integer	ctxt,
		real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), 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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s_pun_or_mqrf90()

subroutine s_misc_densela::s_pun_or_mqrf90	(	character	side,
		character	trans,
		integer	m,
		integer	n,
		integer	k,
		real(kind=4), dimension(:, :)	MatA,
		integer	ia,
		integer	ja,
		integer, dimension(9)	desca,
		real(kind=4), dimension(:)	tau,
		real(kind=4), dimension(:, :)	MatC,
		integer	ic,
		integer	jc,
		integer, dimension(9)	descc,
		real(kind=8), optional	flop
	)

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s_sgeevf90()

subroutine s_misc_densela::s_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
	)

s_sgeqp3f90()

subroutine s_misc_densela::s_sgeqp3f90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_sgeqp3modf90()

subroutine s_misc_densela::s_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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s_sgeqrff90()

subroutine s_misc_densela::s_sgeqrff90	(	real(kind=4), dimension(:, :)	Matrix,
		real(kind=4), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_sgesddf90()

subroutine s_misc_densela::s_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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s_sgesvdf90()

subroutine s_misc_densela::s_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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s_sgetrff90()

subroutine s_misc_densela::s_sgetrff90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_sgetrif90()

subroutine s_misc_densela::s_sgetrif90	(	real(kind=4), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_sgetrsf90()

subroutine s_misc_densela::s_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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s_slangef90()

real(kind=4) function s_misc_densela::s_slangef90	(	real(kind=4), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

s_sorgqrf90()

subroutine s_misc_densela::s_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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s_sormqrf90()

subroutine s_misc_densela::s_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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s_strsmf90()

subroutine s_misc_densela::s_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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s_trsmf90()

subroutine s_misc_densela::s_trsmf90	(	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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s_un_or_gqrf90()

subroutine s_misc_densela::s_un_or_gqrf90	(	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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s_un_or_mqrf90()

subroutine s_misc_densela::s_un_or_mqrf90	(	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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s_zgeevf90()

subroutine s_misc_densela::s_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
	)

s_zgeqp3f90()

subroutine s_misc_densela::s_zgeqp3f90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	jpvt,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_zgeqp3modf90()

subroutine s_misc_densela::s_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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s_zgeqrff90()

subroutine s_misc_densela::s_zgeqrff90	(	complex(kind=8), dimension(:, :)	Matrix,
		complex(kind=8), dimension(:)	tau,
		real(kind=8), optional	flop
	)

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s_zgesddf90()

subroutine s_misc_densela::s_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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s_zgesvdf90()

subroutine s_misc_densela::s_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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s_zgetrif90()

subroutine s_misc_densela::s_zgetrif90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer, dimension(:)	ipiv,
		real(kind=8), optional	flop
	)

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s_zgetrsf90()

subroutine s_misc_densela::s_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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s_zlangef90()

real(kind=8) function s_misc_densela::s_zlangef90	(	complex(kind=8), dimension(:, :)	Matrix,
		integer	M,
		integer	N,
		character, optional	norm
	)

s_ztrsmf90()

subroutine s_misc_densela::s_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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s_zungqrf90()

subroutine s_misc_densela::s_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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s_zunmqrf90()

subroutine s_misc_densela::s_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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