Function

cblas_zgbmv(_:_:_:_:_:_:_:_:_:_:_:_:_:_:)

Scales a general band matrix, then multiplies by a vector, then adds a vector (double-precision complex).

Declaration

func cblas_zgbmv(_ __Order: CBLAS_ORDER, _ __TransA: CBLAS_TRANSPOSE, _ __M: Int32, _ __N: Int32, _ __KL: Int32, _ __KU: Int32, _ __alpha: UnsafeRawPointer!, _ __A: UnsafeRawPointer!, _ __lda: Int32, _ __X: UnsafeRawPointer!, _ __incX: Int32, _ __beta: UnsafeRawPointer!, _ __Y: UnsafeMutableRawPointer!, _ __incY: Int32)

Parameters

Order

Specifies row-major (C) or column-major (Fortran) data ordering.

TransA

Specifies whether to use matrix A ('N' or 'n'), the transpose of A ('T' or 't'), or the conjugate of A ('C' or 'c').

M

Number of rows in matrix A.

N

Number of columns in matrix A.

KL

Number of subdiagonals in matrix A.

KU

Number of superdiagonals in matrix A.

alpha

Scaling factor to multiply matrix A by.

A

Matrix A.

lda

Leading dimension of array containing matrix A. (Must be at least KL+KU+1.)

X

Vector X.

incX

Stride within X. For example, if incX is 7, every 7th element is used.

beta

Scaling factor to multiply vector Y by.

Y

Vector Y.

incY

Stride within Y. For example, if incY is 7, every 7th element is used.

Discussion

Computes alpha*A*x + beta*y, alpha*A'*x + beta*y, or alpha*conjg(A')*x + beta*y depending on the value of TransA.

See Also

Double-Precision Complex Matrix Functions

func cblas_dzasum(Int32, UnsafeRawPointer!, Int32) -> Double

Computes the sum of the absolute values of real and imaginary parts of elements in a vector (single-precision complex).

func cblas_dznrm2(Int32, UnsafeRawPointer!, Int32) -> Double

Computes the unitary norm of a vector (double-precision complex).

func cblas_zaxpy(Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Computes a constant times a vector plus a vector (double-precision complex).

func cblas_zcopy(Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Copies a vector to another vector (double-precision complex).

func cblas_zdscal(Int32, Double, UnsafeMutableRawPointer!, Int32)

Multiplies each element of a vector by a constant (double-precision complex).

func cblas_zgerc(CBLAS_ORDER, Int32, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Multiplies vector X by the conjugate transpose of vector Y, then adds matrix A (double-precision complex).

func cblas_zher(CBLAS_ORDER, CBLAS_UPLO, Int32, Double, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Adds the product of a scaling factor, vector X, and the conjugate transpose of X to matrix A.

func cblas_zher2(CBLAS_ORDER, CBLAS_UPLO, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Hermitian rank 2 update: adds the product of a scaling factor, vector X, and the conjugate transpose of vector Y to the product of the conjugate of the scaling factor, vector Y, and the conjugate transpose of vector X, and adds the result to matrix A.

func cblas_zherk(CBLAS_ORDER, CBLAS_UPLO, CBLAS_TRANSPOSE, Int32, Int32, Double, UnsafeRawPointer!, Int32, Double, UnsafeMutableRawPointer!, Int32)

Rank-k update—multiplies a Hermitian matrix by its transpose and adds a second matrix (single precision).

func cblas_zhpr(CBLAS_ORDER, CBLAS_UPLO, Int32, Double, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!)

Scales and multiplies a vector times its conjugate transpose, then adds a matrix.

func cblas_zhpr2(CBLAS_ORDER, CBLAS_UPLO, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!)

Multiplies a vector times the conjugate transpose of a second vector and vice-versa, sums the results, and adds a matrix.

func cblas_zscal(Int32, UnsafeRawPointer!, UnsafeMutableRawPointer!, Int32)

Multiplies each element of a vector by a constant (double-precision complex).

func cblas_zswap(Int32, UnsafeMutableRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Exchanges the elements of two vectors (double-precision complex).

func cblas_zsyrk(CBLAS_ORDER, CBLAS_UPLO, CBLAS_TRANSPOSE, Int32, Int32, UnsafeRawPointer!, UnsafeRawPointer!, Int32, UnsafeRawPointer!, UnsafeMutableRawPointer!, Int32)

Rank-k update—multiplies a symmetric matrix by its transpose and adds a second matrix (double-precision complex).

func cblas_ztpmv(CBLAS_ORDER, CBLAS_UPLO, CBLAS_TRANSPOSE, CBLAS_DIAG, Int32, UnsafeRawPointer!, UnsafeMutableRawPointer!, Int32)

Multiplies a triangular matrix by a vector, then adds a vector (double-precision compex).