Pages du manuel Linux : Fonctions des bibliothèques

zgebrd
reduce a general complex M-by-N matrix A to upper or lower bidiagonal form B by a unitary transformation
zgecon
estimate the reciprocal of the condition number of a general complex matrix A, in either the 1-norm or the infinity-norm, using the LU factorization computed by ZGETRF
zgeequ
compute row and column scalings intended to equilibrate an M-by-N matrix A and reduce its condition number
zgees
compute for an N-by-N complex nonsymmetric matrix A, the eigenvalues, the Schur form T, and, optionally, the matrix of Schur vectors Z
zgeesx
compute for an N-by-N complex nonsymmetric matrix A, the eigenvalues, the Schur form T, and, optionally, the matrix of Schur vectors Z
zgeev
compute for an N-by-N complex nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors
zgeevx
compute for an N-by-N complex nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors
zgegs
routine is deprecated and has been replaced by routine ZGGES
zgegv
routine is deprecated and has been replaced by routine ZGGEV
zgehd2
reduce a complex general matrix A to upper Hessenberg form H by a unitary similarity transformation
zgehrd
reduce a complex general matrix A to upper Hessenberg form H by a unitary similarity transformation
zgelq2
compute an LQ factorization of a complex m by n matrix A
zgelqf
compute an LQ factorization of a complex M-by-N matrix A
zgels
solve overdetermined or underdetermined complex linear systems involving an M-by-N matrix A, or its conjugate-transpose, using a QR or LQ factorization of A
zgelsd
compute the minimum-norm solution to a real linear least squares problem
zgelss
compute the minimum norm solution to a complex linear least squares problem
zgelsx
routine is deprecated and has been replaced by routine ZGELSY
zgelsy
compute the minimum-norm solution to a complex linear least squares problem
zgemm
perform one of the matrix-matrix operations C := alpha*op( A )*op( B ) + beta*C,
zgemv
perform one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A'*x + beta*y, or y := alpha*conjg( A' )*x + beta*y,
zgeql2
compute a QL factorization of a complex m by n matrix A
zgeqlf
compute a QL factorization of a complex M-by-N matrix A
zgeqp3
compute a QR factorization with column pivoting of a matrix A
zgeqpf
routine is deprecated and has been replaced by routine ZGEQP3
zgeqr2
compute a QR factorization of a complex m by n matrix A
zgeqrf
compute a QR factorization of a complex M-by-N matrix A
zgerc
perform the rank 1 operation A := alpha*x*conjg( y' ) + A,
zgerfs
improve the computed solution to a system of linear equations and provides error bounds and backward error estimates for the solution
zgerq2
compute an RQ factorization of a complex m by n matrix A
zgerqf
compute an RQ factorization of a complex M-by-N matrix A
zgeru
perform the rank 1 operation A := alpha*x*y' + A,
zgesc2
solve a system of linear equations A * X = scale* RHS with a general N-by-N matrix A using the LU factorization with complete pivoting computed by ZGETC2
zgesdd
compute the singular value decomposition (SVD) of a complex M-by-N matrix A, optionally computing the left and/or right singular vectors, by using divide-and-conquer method
zgesv
compute the solution to a complex system of linear equations A * X = B,
zgesvd
compute the singular value decomposition (SVD) of a complex M-by-N matrix A, optionally computing the left and/or right singular vectors
zgesvx
use the LU factorization to compute the solution to a complex system of linear equations A * X = B,
zgetc2
compute an LU factorization, using complete pivoting, of the n-by-n matrix A
zgetf2
compute an LU factorization of a general m-by-n matrix A using partial pivoting with row interchanges
zgetrf
compute an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges
zgetri
compute the inverse of a matrix using the LU factorization computed by ZGETRF
zgetrs
solve a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general N-by-N matrix A using the LU factorization computed by ZGETRF
zggbak
form the right or left eigenvectors of a complex generalized eigenvalue problem A*x = lambda*B*x, by backward transformation on the computed eigenvectors of the balanced pair of matrices output by ZGGBAL
zggbal
balance a pair of general complex matrices (A,B)
zgges
compute for a pair of N-by-N complex nonsymmetric matrices (A,B), the generalized eigenvalues, the generalized complex Schur form (S, T), and optionally left and/or right Schur vectors (VSL and VSR)
zggesx
compute for a pair of N-by-N complex nonsymmetric matrices (A,B), the generalized eigenvalues, the complex Schur form (S,T),
zggev
compute for a pair of N-by-N complex nonsymmetric matrices (A,B), the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors
zggevx
compute for a pair of N-by-N complex nonsymmetric matrices (A,B) the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors
zggglm
solve a general Gauss-Markov linear model (GLM) problem
zgghrd
reduce a pair of complex matrices (A,B) to generalized upper Hessenberg form using unitary transformations, where A is a general matrix and B is upper triangular
zgglse
solve the linear equality-constrained least squares (LSE) problem