real

Collaboration diagram for real:

Functions
subroutine	sggsvp (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, INFO)
	SGGSVP More...
subroutine	slatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK)
	SLATZM More...
subroutine	stzrqf (M, N, A, LDA, TAU, INFO)
	STZRQF More...
subroutine	sbbcsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, M, P, Q, THETA, PHI, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, B11D, B11E, B12D, B12E, B21D, B21E, B22D, B22E, WORK, LWORK, INFO)
	SBBCSD More...
subroutine	sgghd3 (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, WORK, LWORK, INFO)
	SGGHD3 More...
subroutine	sgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO)
	SGGHRD More...
subroutine	sggqrf (N, M, P, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO)
	SGGQRF More...
subroutine	sggrqf (M, P, N, A, LDA, TAUA, B, LDB, TAUB, WORK, LWORK, INFO)
	SGGRQF More...
subroutine	sggsvp3 (JOBU, JOBV, JOBQ, M, P, N, A, LDA, B, LDB, TOLA, TOLB, K, L, U, LDU, V, LDV, Q, LDQ, IWORK, TAU, WORK, LWORK, INFO)
	SGGSVP3 More...
subroutine	sgsvj0 (JOBV, M, N, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO)
	SGSVJ0 pre-processor for the routine sgesvj. More...
subroutine	sgsvj1 (JOBV, M, N, N1, A, LDA, D, SVA, MV, V, LDV, EPS, SFMIN, TOL, NSWEEP, WORK, LWORK, INFO)
	SGSVJ1 pre-processor for the routine sgesvj, applies Jacobi rotations targeting only particular pivots. More...
subroutine	shsein (SIDE, EIGSRC, INITV, SELECT, N, H, LDH, WR, WI, VL, LDVL, VR, LDVR, MM, M, WORK, IFAILL, IFAILR, INFO)
	SHSEIN More...
subroutine	shseqr (JOB, COMPZ, N, ILO, IHI, H, LDH, WR, WI, Z, LDZ, WORK, LWORK, INFO)
	SHSEQR More...
subroutine	sla_lin_berr (N, NZ, NRHS, RES, AYB, BERR)
	SLA_LIN_BERR computes a component-wise relative backward error. More...
subroutine	sla_wwaddw (N, X, Y, W)
	SLA_WWADDW adds a vector into a doubled-single vector. More...
subroutine	slals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, WORK, INFO)
	SLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. More...
subroutine	slalsa (ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO)
	SLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. More...
subroutine	slalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, IWORK, INFO)
	SLALSD uses the singular value decomposition of A to solve the least squares problem. More...
real function	slansf (NORM, TRANSR, UPLO, N, A, WORK)
	SLANSF More...
subroutine	slarscl2 (M, N, D, X, LDX)
	SLARSCL2 performs reciprocal diagonal scaling on a matrix. More...
subroutine	slarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK)
	SLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. More...
subroutine	slarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK)
	SLARZB applies a block reflector or its transpose to a general matrix. More...
subroutine	slarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT)
	SLARZT forms the triangular factor T of a block reflector H = I - vtvH. More...
subroutine	slascl2 (M, N, D, X, LDX)
	SLASCL2 performs diagonal scaling on a matrix. More...
subroutine	slatrz (M, N, L, A, LDA, TAU, WORK)
	SLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations. More...
subroutine	sopgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO)
	SOPGTR More...
subroutine	sopmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO)
	SOPMTR More...
subroutine	sorbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO)
	SORBDB More...
subroutine	sorbdb1 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
	SORBDB1 More...
subroutine	sorbdb2 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
	SORBDB2 More...
subroutine	sorbdb3 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, WORK, LWORK, INFO)
	SORBDB3 More...
subroutine	sorbdb4 (M, P, Q, X11, LDX11, X21, LDX21, THETA, PHI, TAUP1, TAUP2, TAUQ1, PHANTOM, WORK, LWORK, INFO)
	SORBDB4 More...
subroutine	sorbdb5 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
	SORBDB5 More...
subroutine	sorbdb6 (M1, M2, N, X1, INCX1, X2, INCX2, Q1, LDQ1, Q2, LDQ2, WORK, LWORK, INFO)
	SORBDB6 More...
recursive subroutine	sorcsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, WORK, LWORK, IWORK, INFO)
	SORCSD More...
subroutine	sorcsd2by1 (JOBU1, JOBU2, JOBV1T, M, P, Q, X11, LDX11, X21, LDX21, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, WORK, LWORK, IWORK, INFO)
	SORCSD2BY1 More...
subroutine	sorg2l (M, N, K, A, LDA, TAU, WORK, INFO)
	SORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf (unblocked algorithm). More...
subroutine	sorg2r (M, N, K, A, LDA, TAU, WORK, INFO)
	SORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm). More...
subroutine	sorghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO)
	SORGHR More...
subroutine	sorgl2 (M, N, K, A, LDA, TAU, WORK, INFO)
	SORGL2 More...
subroutine	sorglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
	SORGLQ More...
subroutine	sorgql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
	SORGQL More...
subroutine	sorgqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
	SORGQR More...
subroutine	sorgr2 (M, N, K, A, LDA, TAU, WORK, INFO)
	SORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm). More...
subroutine	sorgrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO)
	SORGRQ More...
subroutine	sorgtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO)
	SORGTR More...
subroutine	sorm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	SORM2L multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm). More...
subroutine	sorm2r (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	SORM2R multiplies a general matrix by the orthogonal matrix from a QR factorization determined by sgeqrf (unblocked algorithm). More...
subroutine	sormbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMBR More...
subroutine	sormhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMHR More...
subroutine	sorml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	SORML2 multiplies a general matrix by the orthogonal matrix from a LQ factorization determined by sgelqf (unblocked algorithm). More...
subroutine	sormlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMLQ More...
subroutine	sormql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMQL More...
subroutine	sormqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMQR More...
subroutine	sormr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO)
	SORMR2 multiplies a general matrix by the orthogonal matrix from a RQ factorization determined by sgerqf (unblocked algorithm). More...
subroutine	sormr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO)
	SORMR3 multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm). More...
subroutine	sormrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMRQ More...
subroutine	sormrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMRZ More...
subroutine	sormtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO)
	SORMTR More...
subroutine	spbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO)
	SPBCON More...
subroutine	spbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO)
	SPBEQU More...
subroutine	spbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	SPBRFS More...
subroutine	spbstf (UPLO, N, KD, AB, LDAB, INFO)
	SPBSTF More...
subroutine	spbtf2 (UPLO, N, KD, AB, LDAB, INFO)
	SPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). More...
subroutine	spbtrf (UPLO, N, KD, AB, LDAB, INFO)
	SPBTRF More...
subroutine	spbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
	SPBTRS More...
subroutine	spftrf (TRANSR, UPLO, N, A, INFO)
	SPFTRF More...
subroutine	spftri (TRANSR, UPLO, N, A, INFO)
	SPFTRI More...
subroutine	spftrs (TRANSR, UPLO, N, NRHS, A, B, LDB, INFO)
	SPFTRS More...
subroutine	sppcon (UPLO, N, AP, ANORM, RCOND, WORK, IWORK, INFO)
	SPPCON More...
subroutine	sppequ (UPLO, N, AP, S, SCOND, AMAX, INFO)
	SPPEQU More...
subroutine	spprfs (UPLO, N, NRHS, AP, AFP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	SPPRFS More...
subroutine	spptrf (UPLO, N, AP, INFO)
	SPPTRF More...
subroutine	spptri (UPLO, N, AP, INFO)
	SPPTRI More...
subroutine	spptrs (UPLO, N, NRHS, AP, B, LDB, INFO)
	SPPTRS More...
subroutine	spstf2 (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)
	SPSTF2 computes the Cholesky factorization with complete pivoting of a real symmetric positive semidefinite matrix. More...
subroutine	spstrf (UPLO, N, A, LDA, PIV, RANK, TOL, WORK, INFO)
	SPSTRF computes the Cholesky factorization with complete pivoting of a real symmetric positive semidefinite matrix. More...
subroutine	ssbgst (VECT, UPLO, N, KA, KB, AB, LDAB, BB, LDBB, X, LDX, WORK, INFO)
	SSBGST More...
subroutine	ssbtrd (VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO)
	SSBTRD More...
subroutine	ssfrk (TRANSR, UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C)
	SSFRK performs a symmetric rank-k operation for matrix in RFP format. More...
subroutine	sspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
	SSPCON More...
subroutine	sspgst (ITYPE, UPLO, N, AP, BP, INFO)
	SSPGST More...
subroutine	ssprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	SSPRFS More...
subroutine	ssptrd (UPLO, N, AP, D, E, TAU, INFO)
	SSPTRD More...
subroutine	ssptrf (UPLO, N, AP, IPIV, INFO)
	SSPTRF More...
subroutine	ssptri (UPLO, N, AP, IPIV, WORK, INFO)
	SSPTRI More...
subroutine	ssptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
	SSPTRS More...
subroutine	sstegr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, ISUPPZ, WORK, LWORK, IWORK, LIWORK, INFO)
	SSTEGR More...
subroutine	sstein (N, D, E, M, W, IBLOCK, ISPLIT, Z, LDZ, WORK, IWORK, IFAIL, INFO)
	SSTEIN More...
subroutine	sstemr (JOBZ, RANGE, N, D, E, VL, VU, IL, IU, M, W, Z, LDZ, NZC, ISUPPZ, TRYRAC, WORK, LWORK, IWORK, LIWORK, INFO)
	SSTEMR More...
subroutine	stbcon (NORM, UPLO, DIAG, N, KD, AB, LDAB, RCOND, WORK, IWORK, INFO)
	STBCON More...
subroutine	stbrfs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	STBRFS More...
subroutine	stbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
	STBTRS More...
subroutine	stfsm (TRANSR, SIDE, UPLO, TRANS, DIAG, M, N, ALPHA, A, B, LDB)
	STFSM solves a matrix equation (one operand is a triangular matrix in RFP format). More...
subroutine	stftri (TRANSR, UPLO, DIAG, N, A, INFO)
	STFTRI More...
subroutine	stfttp (TRANSR, UPLO, N, ARF, AP, INFO)
	STFTTP copies a triangular matrix from the rectangular full packed format (TF) to the standard packed format (TP). More...
subroutine	stfttr (TRANSR, UPLO, N, ARF, A, LDA, INFO)
	STFTTR copies a triangular matrix from the rectangular full packed format (TF) to the standard full format (TR). More...
subroutine	stgsen (IJOB, WANTQ, WANTZ, SELECT, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, Q, LDQ, Z, LDZ, M, PL, PR, DIF, WORK, LWORK, IWORK, LIWORK, INFO)
	STGSEN More...
subroutine	stgsja (JOBU, JOBV, JOBQ, M, P, N, K, L, A, LDA, B, LDB, TOLA, TOLB, ALPHA, BETA, U, LDU, V, LDV, Q, LDQ, WORK, NCYCLE, INFO)
	STGSJA More...
subroutine	stgsna (JOB, HOWMNY, SELECT, N, A, LDA, B, LDB, VL, LDVL, VR, LDVR, S, DIF, MM, M, WORK, LWORK, IWORK, INFO)
	STGSNA More...
subroutine	stpcon (NORM, UPLO, DIAG, N, AP, RCOND, WORK, IWORK, INFO)
	STPCON More...
subroutine	stpmqrt (SIDE, TRANS, M, N, K, L, NB, V, LDV, T, LDT, A, LDA, B, LDB, WORK, INFO)
	STPMQRT More...
subroutine	stpqrt (M, N, L, NB, A, LDA, B, LDB, T, LDT, WORK, INFO)
	STPQRT More...
subroutine	stpqrt2 (M, N, L, A, LDA, B, LDB, T, LDT, INFO)
	STPQRT2 computes a QR factorization of a real or complex "triangular-pentagonal" matrix, which is composed of a triangular block and a pentagonal block, using the compact WY representation for Q. More...
subroutine	stprfs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	STPRFS More...
subroutine	stptri (UPLO, DIAG, N, AP, INFO)
	STPTRI More...
subroutine	stptrs (UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO)
	STPTRS More...
subroutine	stpttf (TRANSR, UPLO, N, AP, ARF, INFO)
	STPTTF copies a triangular matrix from the standard packed format (TP) to the rectangular full packed format (TF). More...
subroutine	stpttr (UPLO, N, AP, A, LDA, INFO)
	STPTTR copies a triangular matrix from the standard packed format (TP) to the standard full format (TR). More...
subroutine	strcon (NORM, UPLO, DIAG, N, A, LDA, RCOND, WORK, IWORK, INFO)
	STRCON More...
subroutine	strevc (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, INFO)
	STREVC More...
subroutine	strevc3 (SIDE, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, MM, M, WORK, LWORK, INFO)
	STREVC3 More...
subroutine	strexc (COMPQ, N, T, LDT, Q, LDQ, IFST, ILST, WORK, INFO)
	STREXC More...
subroutine	strrfs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
	STRRFS More...
subroutine	strsen (JOB, COMPQ, SELECT, N, T, LDT, Q, LDQ, WR, WI, M, S, SEP, WORK, LWORK, IWORK, LIWORK, INFO)
	STRSEN More...
subroutine	strsna (JOB, HOWMNY, SELECT, N, T, LDT, VL, LDVL, VR, LDVR, S, SEP, MM, M, WORK, LDWORK, IWORK, INFO)
	STRSNA More...
subroutine	strti2 (UPLO, DIAG, N, A, LDA, INFO)
	STRTI2 computes the inverse of a triangular matrix (unblocked algorithm). More...
subroutine	strtri (UPLO, DIAG, N, A, LDA, INFO)
	STRTRI More...
subroutine	strtrs (UPLO, TRANS, DIAG, N, NRHS, A, LDA, B, LDB, INFO)
	STRTRS More...
subroutine	strttf (TRANSR, UPLO, N, A, LDA, ARF, INFO)
	STRTTF copies a triangular matrix from the standard full format (TR) to the rectangular full packed format (TF). More...
subroutine	strttp (UPLO, N, A, LDA, AP, INFO)
	STRTTP copies a triangular matrix from the standard full format (TR) to the standard packed format (TP). More...
subroutine	stzrzf (M, N, A, LDA, TAU, WORK, LWORK, INFO)
	STZRZF More...

Detailed Description

This is the group of real other Computational routines