Function

# cblas_ctpsv(_:_:_:_:_:_:_:_:)

Solves a packed triangular system of equations.

## Parameters

Order

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

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).

N

Order of matrix A.

Ap

Matrix A (in packed storage format).

X

Contains vector B on entry. Overwritten with vector X on return.

incX

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

## Discussion

Solves the system of equations A*X=B or A'*X=B, depending on the value of TransA.

### 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).