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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 | clatrs3 (UPLO, TRANS, DIAG, NORMIN, N, NRHS, A, LDA, X, LDX, SCALE, CNORM, WORK, LWORK, INFO) |
| CLATRS3 solves a triangular system of equations with the scale factors set to prevent overflow. More... | |
| subroutine | dlahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) |
| DLAHRD 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... | |
| subroutine | dlabrd (M, N, NB, A, LDA, D, E, TAUQ, TAUP, X, LDX, Y, LDY) |
| DLABRD reduces the first nb rows and columns of a general matrix to a bidiagonal form. More... | |
| subroutine | dlacn2 (N, V, X, ISGN, EST, KASE, ISAVE) |
| DLACN2 estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More... | |
| subroutine | dlacon (N, V, X, ISGN, EST, KASE) |
| DLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. More... | |
| subroutine | dladiv (A, B, C, D, P, Q) |
| DLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. More... | |
| subroutine | dladiv1 (A, B, C, D, P, Q) |
| double precision function | dladiv2 (A, B, C, D, R, T) |
| subroutine | dlaein (RIGHTV, NOINIT, N, H, LDH, WR, WI, VR, VI, B, LDB, WORK, EPS3, SMLNUM, BIGNUM, INFO) |
| DLAEIN computes a specified right or left eigenvector of an upper Hessenberg matrix by inverse iteration. More... | |
| subroutine | dlaexc (WANTQ, N, T, LDT, Q, LDQ, J1, N1, N2, WORK, INFO) |
| DLAEXC swaps adjacent diagonal blocks of a real upper quasi-triangular matrix in Schur canonical form, by an orthogonal similarity transformation. More... | |
| subroutine | dlag2 (A, LDA, B, LDB, SAFMIN, SCALE1, SCALE2, WR1, WR2, WI) |
| DLAG2 computes the eigenvalues of a 2-by-2 generalized eigenvalue problem, with scaling as necessary to avoid over-/underflow. More... | |
| subroutine | dlag2s (M, N, A, LDA, SA, LDSA, INFO) |
| DLAG2S converts a double precision matrix to a single precision matrix. More... | |
| subroutine | dlags2 (UPPER, A1, A2, A3, B1, B2, B3, CSU, SNU, CSV, SNV, CSQ, SNQ) |
| DLAGS2 computes 2-by-2 orthogonal matrices U, V, and Q, and applies them to matrices A and B such that the rows of the transformed A and B are parallel. More... | |
| subroutine | dlagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) |
| DLAGTM 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 | dlagv2 (A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, CSL, SNL, CSR, SNR) |
| DLAGV2 computes the Generalized Schur factorization of a real 2-by-2 matrix pencil (A,B) where B is upper triangular. More... | |
| subroutine | dlahqr (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, INFO) |
| DLAHQR computes the eigenvalues and Schur factorization of an upper Hessenberg matrix, using the double-shift/single-shift QR algorithm. More... | |
| subroutine | dlahr2 (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) |
| DLAHR2 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 | dlaic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) |
| DLAIC1 applies one step of incremental condition estimation. More... | |
| subroutine | dlaln2 (LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, LDB, WR, WI, X, LDX, SCALE, XNORM, INFO) |
| DLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form. More... | |
| double precision function | dlangt (NORM, N, DL, D, DU) |
| DLANGT 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... | |
| double precision function | dlanhs (NORM, N, A, LDA, WORK) |
| DLANHS 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... | |
| double precision function | dlansb (NORM, UPLO, N, K, AB, LDAB, WORK) |
| DLANSB 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... | |
| double precision function | dlansp (NORM, UPLO, N, AP, WORK) |
| DLANSP 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... | |
| double precision function | dlantb (NORM, UPLO, DIAG, N, K, AB, LDAB, WORK) |
| DLANTB 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... | |
| double precision function | dlantp (NORM, UPLO, DIAG, N, AP, WORK) |
| DLANTP 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... | |
| double precision function | dlantr (NORM, UPLO, DIAG, M, N, A, LDA, WORK) |
| DLANTR 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 | dlanv2 (A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN) |
| DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric matrix in standard form. More... | |
| subroutine | dlapll (N, X, INCX, Y, INCY, SSMIN) |
| DLAPLL measures the linear dependence of two vectors. More... | |
| subroutine | dlapmr (FORWRD, M, N, X, LDX, K) |
| DLAPMR rearranges rows of a matrix as specified by a permutation vector. More... | |
| subroutine | dlapmt (FORWRD, M, N, X, LDX, K) |
| DLAPMT performs a forward or backward permutation of the columns of a matrix. More... | |
| subroutine | dlaqp2 (M, N, OFFSET, A, LDA, JPVT, TAU, VN1, VN2, WORK) |
| DLAQP2 computes a QR factorization with column pivoting of the matrix block. More... | |
| subroutine | dlaqps (M, N, OFFSET, NB, KB, A, LDA, JPVT, TAU, VN1, VN2, AUXV, F, LDF) |
| DLAQPS computes a step of QR factorization with column pivoting of a real m-by-n matrix A by using BLAS level 3. More... | |
| subroutine | dlaqr0 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) |
| DLAQR0 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. More... | |
| subroutine | dlaqr1 (N, H, LDH, SR1, SI1, SR2, SI2, V) |
| DLAQR1 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 | dlaqr2 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) |
| DLAQR2 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More... | |
| subroutine | dlaqr3 (WANTT, WANTZ, N, KTOP, KBOT, NW, H, LDH, ILOZ, IHIZ, Z, LDZ, NS, ND, SR, SI, V, LDV, NH, T, LDT, NV, WV, LDWV, WORK, LWORK) |
| DLAQR3 performs the orthogonal similarity transformation of a Hessenberg matrix to detect and deflate fully converged eigenvalues from a trailing principal submatrix (aggressive early deflation). More... | |
| subroutine | dlaqr4 (WANTT, WANTZ, N, ILO, IHI, H, LDH, WR, WI, ILOZ, IHIZ, Z, LDZ, WORK, LWORK, INFO) |
| DLAQR4 computes the eigenvalues of a Hessenberg matrix, and optionally the matrices from the Schur decomposition. More... | |
| subroutine | dlaqr5 (WANTT, WANTZ, KACC22, N, KTOP, KBOT, NSHFTS, SR, SI, H, LDH, ILOZ, IHIZ, Z, LDZ, V, LDV, U, LDU, NV, WV, LDWV, NH, WH, LDWH) |
| DLAQR5 performs a single small-bulge multi-shift QR sweep. More... | |
| subroutine | dlaqsb (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, EQUED) |
| DLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. More... | |
| subroutine | dlaqsp (UPLO, N, AP, S, SCOND, AMAX, EQUED) |
| DLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. More... | |
| subroutine | dlaqtr (LTRAN, LREAL, N, T, LDT, B, W, SCALE, X, WORK, INFO) |
| DLAQTR solves a real quasi-triangular system of equations, or a complex quasi-triangular system of special form, in real arithmetic. More... | |
| subroutine | dlar1v (N, B1, BN, LAMBDA, D, L, LD, LLD, PIVMIN, GAPTOL, Z, WANTNC, NEGCNT, ZTZ, MINGMA, R, ISUPPZ, NRMINV, RESID, RQCORR, WORK) |
| DLAR1V 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 | dlar2v (N, X, Y, Z, INCX, C, S, INCC) |
| DLAR2V applies a vector of plane rotations with real cosines and real sines from both sides to a sequence of 2-by-2 symmetric/Hermitian matrices. More... | |
| subroutine | dlarf (SIDE, M, N, V, INCV, TAU, C, LDC, WORK) |
| DLARF applies an elementary reflector to a general rectangular matrix. More... | |
| subroutine | dlarfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV, T, LDT, C, LDC, WORK, LDWORK) |
| DLARFB applies a block reflector or its transpose to a general rectangular matrix. More... | |
| subroutine | dlarfb_gett (IDENT, M, N, K, T, LDT, A, LDA, B, LDB, WORK, LDWORK) |
| DLARFB_GETT More... | |
| subroutine | dlarfg (N, ALPHA, X, INCX, TAU) |
| DLARFG generates an elementary reflector (Householder matrix). More... | |
| subroutine | dlarfgp (N, ALPHA, X, INCX, TAU) |
| DLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. More... | |
| subroutine | dlarft (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) |
| DLARFT forms the triangular factor T of a block reflector H = I - vtvH More... | |
| subroutine | dlarfx (SIDE, M, N, V, TAU, C, LDC, WORK) |
| DLARFX applies an elementary reflector to a general rectangular matrix, with loop unrolling when the reflector has order ≤ 10. More... | |
| subroutine | dlarfy (UPLO, N, V, INCV, TAU, C, LDC, WORK) |
| DLARFY More... | |
| subroutine | dlargv (N, X, INCX, Y, INCY, C, INCC) |
| DLARGV generates a vector of plane rotations with real cosines and real sines. More... | |
| subroutine | dlarrv (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) |
| DLARRV computes the eigenvectors of the tridiagonal matrix T = L D LT given L, D and the eigenvalues of L D LT. More... | |
| subroutine | dlartv (N, X, INCX, Y, INCY, C, S, INCC) |
| DLARTV applies a vector of plane rotations with real cosines and real sines to the elements of a pair of vectors. More... | |
| subroutine | dlaswp (N, A, LDA, K1, K2, IPIV, INCX) |
| DLASWP performs a series of row interchanges on a general rectangular matrix. More... | |
| subroutine | dlat2s (UPLO, N, A, LDA, SA, LDSA, INFO) |
| DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. More... | |
| subroutine | dlatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) |
| DLATBS solves a triangular banded system of equations. More... | |
| subroutine | dlatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) |
| DLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. More... | |
| subroutine | dlatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) |
| DLATPS solves a triangular system of equations with the matrix held in packed storage. More... | |
| subroutine | dlatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) |
| DLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. More... | |
| subroutine | dlatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO) |
| DLATRS solves a triangular system of equations with the scale factor set to prevent overflow. More... | |
| subroutine | dlatrs3 (UPLO, TRANS, DIAG, NORMIN, N, NRHS, A, LDA, X, LDX, SCALE, CNORM, WORK, LWORK, INFO) |
| DLATRS3 solves a triangular system of equations with the scale factors set to prevent overflow. More... | |
| subroutine | dlauu2 (UPLO, N, A, LDA, INFO) |
| DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). More... | |
| subroutine | dlauum (UPLO, N, A, LDA, INFO) |
| DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). More... | |
| subroutine | drscl (N, SA, SX, INCX) |
| DRSCL multiplies a vector by the reciprocal of a real scalar. More... | |
| subroutine | dtprfb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, A, LDA, B, LDB, WORK, LDWORK) |
| DTPRFB applies a real "triangular-pentagonal" block reflector to a real matrix, which is composed of two blocks. More... | |
| subroutine | slatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) |
| SLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. More... | |
| subroutine | slatrs3 (UPLO, TRANS, DIAG, NORMIN, N, NRHS, A, LDA, X, LDX, SCALE, CNORM, WORK, LWORK, INFO) |
| SLATRS3 solves a triangular system of equations with the scale factors set to prevent overflow. More... | |
| subroutine | zlatrs3 (UPLO, TRANS, DIAG, NORMIN, N, NRHS, A, LDA, X, LDX, SCALE, CNORM, WORK, LWORK, INFO) |
| ZLATRS3 solves a triangular system of equations with the scale factors set to prevent overflow. More... | |
This is the group of double other auxiliary routines
1.9.4