Function

# cblas_ctrsv(_:_:_:_:_:_:_:_:_:)

Solves a triangular system of equations with a single value for the right side.

## 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`

The order of matrix `A`.

`A`

Triangular matrix `A`.

`lda`

The leading dimension of matrix `A`.

`X`

The vector `X`.

`incX`

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

## Discussion

Solves `A*x=b` or `A'*x=b` where `x` and `b` are elements in `X` and `B`.

### Single-Precision Complex Matrix Functions

`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_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).