![]() |
LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
|
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. | |
subroutine | clacgv (n, x, incx) |
CLACGV conjugates a complex vector. | |
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. | |
subroutine | clacon (n, v, x, est, kase) |
CLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. | |
subroutine | clacp2 (uplo, m, n, a, lda, b, ldb) |
CLACP2 copies all or part of a real two-dimensional array to a complex array. | |
subroutine | clacpy (uplo, m, n, a, lda, b, ldb) |
CLACPY copies all or part of one two-dimensional array to another. | |
subroutine | clacrm (m, n, a, lda, b, ldb, c, ldc, rwork) |
CLACRM multiplies a complex matrix by a square real matrix. | |
subroutine | clacrt (n, cx, incx, cy, incy, c, s) |
CLACRT performs a linear transformation of a pair of complex vectors. | |
complex function | cladiv (x, y) |
CLADIV performs complex division in real arithmetic, avoiding unnecessary overflow. | |
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. | |
subroutine | claev2 (a, b, c, rt1, rt2, cs1, sn1) |
CLAEV2 computes the eigenvalues and eigenvectors of a 2-by-2 symmetric/Hermitian matrix. | |
subroutine | clags2 (upper, a1, a2, a3, b1, b2, b3, csu, snu, csv, snv, csq, snq) |
CLAGS2 | |
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. | |
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. | |
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. | |
subroutine | claic1 (job, j, x, sest, w, gamma, sestpr, s, c) |
CLAIC1 applies one step of incremental condition estimation. | |
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. | |
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. | |
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. | |
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. | |
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. | |
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. | |
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. | |
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. | |
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. | |
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. | |
subroutine | clapll (n, x, incx, y, incy, ssmin) |
CLAPLL measures the linear dependence of two vectors. | |
subroutine | clapmr (forwrd, m, n, x, ldx, k) |
CLAPMR rearranges rows of a matrix as specified by a permutation vector. | |
subroutine | clapmt (forwrd, m, n, x, ldx, k) |
CLAPMT performs a forward or backward permutation of the columns of a matrix. | |
subroutine | claqhb (uplo, n, kd, ab, ldab, s, scond, amax, equed) |
CLAQHB scales a Hermitian band matrix, using scaling factors computed by cpbequ. | |
subroutine | claqhp (uplo, n, ap, s, scond, amax, equed) |
CLAQHP scales a Hermitian matrix stored in packed form. | |
subroutine | claqp2 (m, n, offset, a, lda, jpvt, tau, vn1, vn2, work) |
CLAQP2 computes a QR factorization with column pivoting of the matrix block. | |
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. | |
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. | |
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. | |
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). | |
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). | |
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. | |
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. | |
subroutine | claqsb (uplo, n, kd, ab, ldab, s, scond, amax, equed) |
CLAQSB scales a symmetric/Hermitian band matrix, using scaling factors computed by spbequ. | |
subroutine | claqsp (uplo, n, ap, s, scond, amax, equed) |
CLAQSP scales a symmetric/Hermitian matrix in packed storage, using scaling factors computed by sppequ. | |
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. | |
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. | |
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. | |
subroutine | clarf (side, m, n, v, incv, tau, c, ldc, work) |
CLARF applies an elementary reflector to a general rectangular matrix. | |
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. | |
subroutine | clarfb_gett (ident, m, n, k, t, ldt, a, lda, b, ldb, work, ldwork) |
CLARFB_GETT | |
subroutine | clarfg (n, alpha, x, incx, tau) |
CLARFG generates an elementary reflector (Householder matrix). | |
subroutine | clarfgp (n, alpha, x, incx, tau) |
CLARFGP generates an elementary reflector (Householder matrix) with non-negative beta. | |
subroutine | clarft (direct, storev, n, k, v, ldv, tau, t, ldt) |
CLARFT forms the triangular factor T of a block reflector H = I - vtvH | |
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. | |
subroutine | clarfy (uplo, n, v, incv, tau, c, ldc, work) |
CLARFY | |
subroutine | clargv (n, x, incx, y, incy, c, incc) |
CLARGV generates a vector of plane rotations with real cosines and complex sines. | |
subroutine | clarnv (idist, iseed, n, x) |
CLARNV returns a vector of random numbers from a uniform or normal distribution. | |
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. | |
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. | |
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. | |
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. | |
subroutine | clasr (side, pivot, direct, m, n, c, s, a, lda) |
CLASR applies a sequence of plane rotations to a general rectangular matrix. | |
subroutine | claswp (n, a, lda, k1, k2, ipiv, incx) |
CLASWP performs a series of row interchanges on a general rectangular matrix. | |
subroutine | clatbs (uplo, trans, diag, normin, n, kd, ab, ldab, x, scale, cnorm, info) |
CLATBS solves a triangular banded system of equations. | |
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. | |
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. | |
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. | |
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. | |
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). | |
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). | |
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. | |
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 | |
subroutine | cspr (uplo, n, alpha, x, incx, ap) |
CSPR performs the symmetrical rank-1 update of a complex symmetric packed matrix. | |
subroutine | csrscl (n, sa, sx, incx) |
CSRSCL multiplies a vector by the reciprocal of a real scalar. | |
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. | |
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. | |
integer function | icmax1 (n, cx, incx) |
ICMAX1 finds the index of the first vector element of maximum absolute value. | |
integer function | ilaclc (m, n, a, lda) |
ILACLC scans a matrix for its last non-zero column. | |
integer function | ilaclr (m, n, a, lda) |
ILACLR scans a matrix for its last non-zero row. | |
integer function | izmax1 (n, zx, incx) |
IZMAX1 finds the index of the first vector element of maximum absolute value. | |
real function | scsum1 (n, cx, incx) |
SCSUM1 forms the 1-norm of the complex vector using the true absolute value. | |
This is the group of complex other auxiliary routines