Function

cblas_ctrsm(_:_:_:_:_:_:_:_:_:_:_:_:)

Solves a triangular system of equations with multiple values for the right side.

Declaration

func cblas_ctrsm(_ __Order: CBLAS_ORDER, _ __Side: CBLAS_SIDE, _ __Uplo: CBLAS_UPLO, _ __TransA: CBLAS_TRANSPOSE, _ __Diag: CBLAS_DIAG, _ __M: Int32, _ __N: Int32, _ __alpha: UnsafeRawPointer!, _ __A: UnsafeRawPointer!, _ __lda: Int32, _ __B: UnsafeMutableRawPointer!, _ __ldb: Int32)

Parameters

Order

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

Side

Determines the order in which the matrix and vector should be multiplied.

Uplo

Specifies whether to use the upper or lower triangle from the matrix. Valid values are 'U' or 'L'.

TransA

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

Diag

Specifies whether the matrix is unit triangular. Possible values are 'U' (unit triangular) or 'N' (not unit triangular).

M

The number of rows in matrix B.

N

The number of columns in matrix B.

alpha

Scaling factor for matrix A.

A

Triangular matrix A.

lda

The leading dimension of matrix A.

B

On entry, matrix B. Overwritten on return by matrix X.

ldb

The leading dimension of matrix B.

Discussion

If Side is 'L', solves A*X=alpha*B or A'*X=alpha*B, depending on TransA.

If Side is 'R', solves X*A=alpha*B or X*A'=alpha*B, depending on TransA.

In either case, the results overwrite the values of matrix B in X.

See Also

Single-Precision Complex Matrix Functions

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

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

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

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

func cblas_cgerc(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 (single-precision complex).

func cblas_cher(CBLAS_ORDER, CBLAS_UPLO, Int32, Float, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

Hermitian rank 1 update: adds the product of a scaling factor, vector X, and the conjugate transpose of X to matrix A.

func cblas_cher2(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_cherk(CBLAS_ORDER, CBLAS_UPLO, CBLAS_TRANSPOSE, Int32, Int32, Float, UnsafeRawPointer!, Int32, Float, UnsafeMutableRawPointer!, Int32)

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

func cblas_chpr(CBLAS_ORDER, CBLAS_UPLO, Int32, Float, UnsafeRawPointer!, Int32, UnsafeMutableRawPointer!)

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

func cblas_chpr2(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_cscal(Int32, UnsafeRawPointer!, UnsafeMutableRawPointer!, Int32)

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

func cblas_csscal(Int32, Float, UnsafeMutableRawPointer!, Int32)

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

func cblas_cswap(Int32, UnsafeMutableRawPointer!, Int32, UnsafeMutableRawPointer!, Int32)

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

func cblas_csyrk(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 (single-precision complex).

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

Multiplies a triangular matrix by a vector, then adds a vector (single-precision complex).

func cblas_scasum(Int32, UnsafeRawPointer!, Int32) -> Float

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

func cblas_scnrm2(Int32, UnsafeRawPointer!, Int32) -> Float

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