Section 3: library functions
claqr1.f – SynopsisFunctions/Subroutinessubroutine claqr1 (N, H, LDH, S1, S2, V) CLAQR1 sets a scalar multiple of the first column of the product of 2-by-2 or 3-by-3 matrix H and specified shifts. Function/Subroutine Documentationsubroutine claqr1 (integerN, complex, dimension( ldh, * )H, integerLDH, complexS1, complexS2, complex, dimension( * )V)CLAQR1 sets a scalar multiple of the first column…
claqr0.f – SynopsisFunctions/Subroutinessubroutine claqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) CLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. Function/Subroutine Documentationsubroutine claqr0 (logicalWANTT, logicalWANTZ, integerN, integerILO, integerIHI, complex, dimension( ldh, * )H, integerLDH, complex, dimension( * )W, integerILOZ, integerIHIZ,…
claqps.f – SynopsisFunctions/Subroutinessubroutine claqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF) CLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. Function/Subroutine Documentationsubroutine claqps (integerM, integerN, integerOFFSET, integerNB, integerKB, complex, dimension( lda, * )A, integerLDA, integer, dimension(…
claqp2.f – SynopsisFunctions/Subroutinessubroutine claqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) CLAQP2 computes a QR factorization with column pivoting of the matrix block. Function/Subroutine Documentationsubroutine claqp2 (integerM, integerN, integerOFFSET, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, real, dimension( * )VN1, real, dimension( * )VN2, complex,…
claqhp.f – SynopsisFunctions/Subroutinessubroutine claqhp (UPLO, N, AP, S, SCOND, AMAX, EQUED) CLAQHP scales a Hermitian matrix stored in packed form. Function/Subroutine Documentationsubroutine claqhp (characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHP scales a Hermitian matrix stored in packed form. Purpose: CLAQHP equilibrates a Hermitian matrix A using the scaling factors…
claqhe.f – SynopsisFunctions/Subroutinessubroutine claqhe (UPLO, N, A, LDA, S, SCOND, AMAX, EQUED) CLAQHE scales a Hermitian matrix. Function/Subroutine Documentationsubroutine claqhe (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHE scales a Hermitian matrix. Purpose: CLAQHE equilibrates a Hermitian matrix A using the scaling factors in the vector S. Parameters:…
claqhb.f – SynopsisFunctions/Subroutinessubroutine claqhb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ. Function/Subroutine Documentationsubroutine claqhb (characterUPLO, integerN, integerKD, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )S, realSCOND, realAMAX, characterEQUED)CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ….
claqge.f – SynopsisFunctions/Subroutinessubroutine claqge (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, EQUED) CLAQGE scales a general rectangular matrix, using row and column scaling factors computed by sgeequ. Function/Subroutine Documentationsubroutine claqge (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, characterEQUED)CLAQGE scales a general…
claqgb.f – SynopsisFunctions/Subroutinessubroutine claqgb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, EQUED) CLAQGB scales a general band matrix, using row and column scaling factors computed by sgbequ. Function/Subroutine Documentationsubroutine claqgb (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX,…
clapmt.f – SynopsisFunctions/Subroutinessubroutine clapmt (FORWRD, M, N, X, LDX, K) CLAPMT performs a forward or backward permutation of the columns of a matrix. Function/Subroutine Documentationsubroutine clapmt (logicalFORWRD, integerM, integerN, complex, dimension( ldx, * )X, integerLDX, integer, dimension( * )K)CLAPMT performs a forward or backward permutation of the columns of a matrix. Purpose: CLAPMT rearranges the…
clapmr.f – SynopsisFunctions/Subroutinessubroutine clapmr (FORWRD, M, N, X, LDX, K) CLAPMR rearranges rows of a matrix as specified by a permutation vector. Function/Subroutine Documentationsubroutine clapmr (logicalFORWRD, integerM, integerN, complex, dimension( ldx, * )X, integerLDX, integer, dimension( * )K)CLAPMR rearranges rows of a matrix as specified by a permutation vector. Purpose: CLAPMR rearranges the rows of…
clapll.f – SynopsisFunctions/Subroutinessubroutine clapll (N, X, INCX, Y, INCY, SSMIN) CLAPLL measures the linear dependence of two vectors. Function/Subroutine Documentationsubroutine clapll (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, realSSMIN)CLAPLL measures the linear dependence of two vectors. Purpose: Given two column vectors X and Y, let A = ( X Y )….
clantr.f – SynopsisFunctions/SubroutinesREAL function clantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK) CLANTR returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a trapezoidal or triangular matrix. Function/Subroutine DocumentationREAL function clantr (characterNORM, characterUPLO, characterDIAG, integerM, integerN, complex, dimension( lda, * )A,…
clantp.f – SynopsisFunctions/SubroutinesREAL function clantp (NORM, UPLO, DIAG, N, AP, WORK) CLANTP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular matrix supplied in packed form. Function/Subroutine DocumentationREAL function clantp (characterNORM, characterUPLO, characterDIAG, integerN, complex, dimension( * )AP, real, dimension(…
clantb.f – SynopsisFunctions/SubroutinesREAL function clantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK) CLANTB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a triangular band matrix. Function/Subroutine DocumentationREAL function clantb (characterNORM, characterUPLO, characterDIAG, integerN, integerK, complex, dimension( ldab, * )AB, integerLDAB,…
clansy.f – SynopsisFunctions/SubroutinesREAL function clansy (NORM, UPLO, N, A, LDA, WORK) CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix. Function/Subroutine DocumentationREAL function clansy (characterNORM, characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)CLANSY…
clansp.f – SynopsisFunctions/SubroutinesREAL function clansp (NORM, UPLO, N, AP, WORK) CLANSP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric matrix supplied in packed form. Function/Subroutine DocumentationREAL function clansp (characterNORM, characterUPLO, integerN, complex, dimension( * )AP, real, dimension( * )WORK)CLANSP…
clansb.f – SynopsisFunctions/SubroutinesREAL function clansb (NORM, UPLO, N, K, AB, LDAB, WORK) CLANSB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a symmetric band matrix. Function/Subroutine DocumentationREAL function clansb (characterNORM, characterUPLO, integerN, integerK, complex, dimension( ldab, * )AB, integerLDAB, real, dimension(…
clanht.f – SynopsisFunctions/SubroutinesREAL function clanht (NORM, N, D, E) CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix. Function/Subroutine DocumentationREAL function clanht (characterNORM, integerN, real, dimension( * )D, complex, dimension( * )E)CLANHT returns the value of…
clanhs.f – SynopsisFunctions/SubroutinesREAL function clanhs (NORM, N, A, LDA, WORK) CLANHS returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of an upper Hessenberg matrix. Function/Subroutine DocumentationREAL function clanhs (characterNORM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )WORK)CLANHS returns the value of the 1-norm,…