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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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Functions | |
| subroutine | clabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) |
| CLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. More... | |
| subroutine | clacgv (N, X, INCX) |
| CLACGV conjugates a complex vector. More... | |
| subroutine | clacn2 (N, V, X, EST, KASE, ISAVE) |
| CLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More... | |
| subroutine | clacon (N, V, X, EST, KASE) |
| CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More... | |
| subroutine | clacp2 (UPLO, M, N, A, LDA, B, LDB) |
| CLACP2 copies all or part of a real two-dimensional array to a complex array. More... | |
| subroutine | clacpy (UPLO, M, N, A, LDA, B, LDB) |
| CLACPY copies all or part of one two-dimensional array to another. More... | |
| subroutine | clacrm (M, N, A, LDA, B, LDB, C, LDC, RWORK) |
| CLACRM multiplies a complex matrix by a square real matrix. More... | |
| subroutine | clacrt (N, CX, INCX, CY, INCY, C, S) |
| CLACRT performs a linear transformation of a pair of complex vectors. More... | |
| complex function | cladiv (X, Y) |
| CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. More... | |
| subroutine | claein (RIGHTV, NOINIT, N, H, LDH, W, V, B, LDB, RWORK, EPS3, SMLNUM, INFO) |
| CLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. More... | |
| subroutine | claev2 (A, B, C, RT1, RT2, CS1, SN1) |
| CLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. More... | |
| subroutine | clags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) |
| CLAGS2 More... | |
| subroutine | clagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) |
| CLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1. More... | |
| subroutine | clahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, INFO) |
| CLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. More... | |
| subroutine | clahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) |
| CLAHR2 reduces the specified number of first columns of a general rectangular matrix A so that elements below the specified subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. More... | |
| subroutine | claic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) |
| CLAIC1 applies one step of incremental condition estimation. More... | |
| real function | clangt (NORM, N, DL, D, DU) |
| CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix. More... | |
| real function | clanhb (NORM, UPLO, N, K, AB, LDAB, WORK) |
| CLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a Hermitian band matrix. More... | |
| real function | clanhp (NORM, UPLO, N, AP, WORK) |
| CLANHP 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 matrix supplied in packed form. More... | |
| real 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. More... | |
| real 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. More... | |
| real 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. More... | |
| real 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. More... | |
| real 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. More... | |
| real 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. More... | |
| real 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. More... | |
| subroutine | clapll (N, X, INCX, Y, INCY, SSMIN) |
| CLAPLL measures the linear dependence of two vectors. More... | |
| subroutine | clapmr (FORWRD, M, N, X, LDX, K) |
| CLAPMR rearranges rows of a matrix as specified by a permutation vector. More... | |
| subroutine | clapmt (FORWRD, M, N, X, LDX, K) |
| CLAPMT performs a forward or backward permutation of the columns of a matrix. More... | |
| subroutine | claqhb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) |
| CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ. More... | |
| subroutine | claqhp (UPLO, N, AP, S, SCOND, AMAX, EQUED) |
| CLAQHP scales a Hermitian matrix stored in packed form. More... | |
| subroutine | claqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) |
| CLAQP2 computes a QR factorization with column pivoting of the matrix block. More... | |
| subroutine | 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. More... | |
| subroutine | 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. More... | |
| subroutine | 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. More... | |
| subroutine | claqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) |
| CLAQR2 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More... | |
| subroutine | claqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SH, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) |
| CLAQR3 performs the unitary similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More... | |
| subroutine | claqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, W, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) |
| CLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. More... | |
| subroutine | claqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, S, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH) |
| CLAQR5 performs a single small-bulge multi-shift QR sweep. More... | |
| subroutine | claqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) |
| CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. More... | |
| subroutine | claqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) |
| CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. More... | |
| subroutine | clar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) |
| CLAR1V computes the (scaled) r-th column of the inverse of the submatrix in rows b1 through bn of the tridiagonal matrix LDLT - λI. More... | |
| subroutine | clar2v (N, X, Y, Z, INCX, C, S, INCC) |
| CLAR2V applies a vector of plane rotations with real cosines and complex sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. More... | |
| subroutine | clarcm (M, N, A, LDA, B, LDB, C, LDC, RWORK) |
| CLARCM copies all or part of a real two-dimensional array to a complex array. More... | |
| subroutine | clarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) |
| CLARF applies an elementary reflector to a general rectangular matrix. More... | |
| subroutine | clarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) |
| CLARFB applies a block reflector or its conjugate-transpose to a general rectangular matrix. More... | |
| subroutine | clarfb_gett (IDENT, M, N, K, T, LDT, A, LDA, B, LDB, WORK, LDWORK) |
| CLARFB_GETT More... | |
| subroutine | clarfg (N, ALPHA, X, INCX, TAU) |
| CLARFG generates an elementary reflector (Householder matrix). More... | |
| subroutine | clarfgp (N, ALPHA, X, INCX, TAU) |
| CLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. More... | |
| subroutine | clarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) |
| CLARFT forms the triangular factor T of a block reflector H = I - vtvH More... | |
| subroutine | clarfx (SIDE, M, N, V, TAU, C, LDC, WORK) |
| CLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. More... | |
| subroutine | clarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK) |
| CLARFY More... | |
| subroutine | clargv (N, X, INCX, Y, INCY, C, INCC) |
| CLARGV generates a vector of plane rotations with real cosines and complex sines. More... | |
| subroutine | clarnv (IDIST, ISEED, N, X) |
| CLARNV returns a vector of random numbers from a uniform or normal distribution. More... | |
| subroutine | clarrv (N, VL, VU, D, L, PIVMIN, ISPLIT, M, DOL, DOU, MINRGP, RTOL1, RTOL2, W, WERR, WGAP, IBLOCK, INDEXW, GERS, Z, LDZ, ISUPPZ, WORK, IWORK, INFO) |
| CLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. More... | |
| subroutine | clartv (N, X, INCX, Y, INCY, C, S, INCC) |
| CLARTV applies a vector of plane rotations with real cosines and complex sines to the elements of a pair of vectors. More... | |
| subroutine | clascl (TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO) |
| CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. More... | |
| subroutine | claset (UPLO, M, N, ALPHA, BETA, A, LDA) |
| CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. More... | |
| subroutine | clasr (SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA) |
| CLASR applies a sequence of plane rotations to a general rectangular matrix. More... | |
| subroutine | claswp (N, A, LDA, K1, K2, IPIV, INCX) |
| CLASWP performs a series of row interchanges on a general rectangular matrix. More... | |
| subroutine | clatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) |
| CLATBS solves a triangular banded system of equations. More... | |
| subroutine | clatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) |
| CLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. More... | |
| subroutine | clatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) |
| CLATPS solves a triangular system of equations with the matrix held in packed storage. More... | |
| subroutine | clatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) |
| CLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an unitary similarity transformation. More... | |
| subroutine | clatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO) |
| CLATRS solves a triangular system of equations with the scale factor set to prevent overflow. More... | |
| subroutine | clauu2 (UPLO, N, A, LDA, INFO) |
| CLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). More... | |
| subroutine | clauum (UPLO, N, A, LDA, INFO) |
| CLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). More... | |
| subroutine | crot (N, CX, INCX, CY, INCY, C, S) |
| CROT applies a plane rotation with real cosine and complex sine to a pair of complex vectors. More... | |
| subroutine | cspmv (UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY) |
| CSPMV computes a matrix-vector product for complex vectors using a complex symmetric packed matrix More... | |
| subroutine | cspr (UPLO, N, ALPHA, X, INCX, AP) |
| CSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix. More... | |
| subroutine | csrscl (N, SA, SX, INCX) |
| CSRSCL multiplies a vector by the reciprocal of a real scalar. More... | |
| subroutine | ctprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK) |
| CTPRFB applies a complex "triangular-pentagonal" block reflector to a complex matrix, which is composed of two blocks. More... | |
| subroutine | clahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) |
| CLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. More... | |
| integer function | icmax1 (N, CX, INCX) |
| ICMAX1 finds the index of the first vector element of maximum absolute value. More... | |
| integer function | ilaclc (M, N, A, LDA) |
| ILACLC scans a matrix for its last non-zero column. More... | |
| integer function | ilaclr (M, N, A, LDA) |
| ILACLR scans a matrix for its last non-zero row. More... | |
| integer function | izmax1 (N, ZX, INCX) |
| IZMAX1 finds the index of the first vector element of maximum absolute value. More... | |
| real function | scsum1 (N, CX, INCX) |
| SCSUM1 forms the 1-norm of the complex vector using the true absolute value. More... | |
This is the group of complex other auxiliary routines
1.9.4