XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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Functions
D1a. Elementary vector operations: BLAS2 (complex)
Module 2 (Complex linear solve, eigenvalues, singular value decomposition) » D1. Elementary vector and matrix operations (complex)

Functions

void zgbmv (char trans, int m, int n, int kl, int ku, doublecomplex alpha, int ldab, doublecomplex ab[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy, y <- αATx + βy or y <- αAHx + βy (complex band matrices) (BLAS 2)
 
void zgemv (char trans, int m, int n, doublecomplex alpha, int lda, doublecomplex a[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy, y <- αATx + βy or y <- αAHx + βy (complex matrices) (BLAS 2)
 
void zgerc (int m, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, int lda, doublecomplex a[])
 Rank 1 operation: A <- αxyH + A (complex matrices) (BLAS 2)
 
void zgeru (int m, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, int lda, doublecomplex a[])
 Rank 1 operation: A <- αxyT + A (complex matrices) (BLAS 2)
 
void zhbmv (char uplo, int n, int k, doublecomplex alpha, int ldab, doublecomplex ab[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (Hermitian band matrices) (BLAS 2)
 
void zhemv (char uplo, int n, doublecomplex alpha, int lda, doublecomplex a[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (Hermitian matrices) (BLAS 2)
 
void zher (char uplo, int n, double alpha, doublecomplex x[], int incx, int lda, doublecomplex a[])
 Rank 1 operation: A <- αxxH + A (Hermitian matrices) (BLAS 2)
 
void zher2 (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, int lda, doublecomplex a[])
 Rank 2 operation: A <- αxyH + conjg(α)yxH + A (Hermitian matrices) (BLAS 2)
 
void zhpmv (char uplo, int n, doublecomplex alpha, doublecomplex ap[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (Hermitian matrices in packed form) (BLAS 2)
 
void zhpr (char uplo, int n, double alpha, doublecomplex x[], int incx, doublecomplex ap[])
 Rank 1 operation: A <- αxxH + A (Hermitian matrices in packed form) (BLAS 2)
 
void zhpr2 (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, doublecomplex ap[])
 Rank 2 operation: A <- αxyH + conjg(α)yxH + A (Hermitian matrices in packed form) (BLAS 2)
 
void zsbmv (char uplo, int n, int k, doublecomplex alpha, int ldab, doublecomplex ab[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (complex symmetric band matrices) (BLAS 2)
 
void zspmv (char uplo, int n, doublecomplex alpha, doublecomplex ap[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (complex symmetric matrices in packed form) (BLAS 2)
 
void zspr (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex ap[])
 Rank 1 operation: A <- αxxT + A (complex symmetric matrices in packed form) (BLAS 2)
 
void zspr2 (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, doublecomplex ap[])
 Rank 2 operation: A <- αxyT + αyxT + A (complex symmetric matrices in packed form) (BLAS 2)
 
void zsymv (char uplo, int n, doublecomplex alpha, int lda, doublecomplex a[], doublecomplex x[], int incx, doublecomplex beta, doublecomplex y[], int incy)
 y <- αAx + βy (complex symmetric matrices) (BLAS 2)
 
void zsyr (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, int lda, doublecomplex a[])
 Rank 1 operation: A <- αxxT + A (complex symmetric matrices) (BLAS 2)
 
void zsyr2 (char uplo, int n, doublecomplex alpha, doublecomplex x[], int incx, doublecomplex y[], int incy, int lda, doublecomplex a[])
 Rank 2 operation: A <- αxyT + αyxT + A (complex symmetric matrices) (BLAS 2)
 
void ztbmv (char uplo, char trans, char diag, int n, int k, int ldab, doublecomplex ab[], doublecomplex x[], int incx)
 x <- Ax, x <- ATx or x <- AHx (complex triangular band matrices) (BLAS 2)
 
void ztbsv (char uplo, char trans, char diag, int n, int k, int ldab, doublecomplex ab[], doublecomplex x[], int incx)
 Solution of Ax = b, ATx = b or AHx = b (complex triangular band matrices) (BLAS 2)
 
void ztpmv (char uplo, char trans, char diag, int n, doublecomplex ap[], doublecomplex x[], int incx)
 x <- Ax, x <- ATx or x <- AHx (complex triangular matrices in packed form) (BLAS 2)
 
void ztpsv (char uplo, char trans, char diag, int n, doublecomplex ap[], doublecomplex x[], int incx)
 Solution of Ax = b, ATx = b or AHx = b (complex triangular matrices in packed form) (BLAS 2)
 
void ztrmv (char uplo, char trans, char diag, int n, int lda, doublecomplex a[], doublecomplex x[], int incx)
 x <- Ax, x <- ATx or x <- AHx (complex triangular matrices) (BLAS 2)
 
void ztrsv (char uplo, char trans, char diag, int n, int lda, doublecomplex a[], doublecomplex x[], int incx)
 Solution of Ax = b, ATx = b or AHx = b (complex triangular matrices) (BLAS 2)
 

Detailed Description

This is the group of D1a. Elementary vector operations: BLAS2 (complex).

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