Function

# cblas_sspmv

Scales a packed symmetric matrix, then multiplies by a vector, then scales and adds another vector (single precision).

## 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'`.

`N`

Order of matrix `A` and the number of elements in vectors `x` and `y`.

`alpha`

Scaling factor that matrix `A` is multiplied by.

`Ap`

Matrix `A` (in packed storage format).

`X`

Vector `x`.

`incX`

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

`beta`

Scaling factor that vector `y` is multiplied 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` and stores the results in `Y`.

### Single-Precision Float Matrix Functions

`cblas_sasum`

Computes the sum of the absolute values of elements in a vector (single-precision).

`cblas_saxpy`

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

`cblas_scopy`

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

`cblas_sgbmv`

Scales a general band matrix, then multiplies by a vector, then adds a vector (single precision).

`cblas_sgemm`

Multiplies two matrices (single-precision).

`cblas_sgemv`

Multiplies a matrix by a vector (single precision).

`cblas_sger`

Multiplies vector X by the transpose of vector Y, then adds matrix A (single precison).

`cblas_snrm2`

Computes the L2 norm (Euclidian length) of a vector (single precision).

`cblas_srot`

Applies a Givens rotation matrix to a pair of vectors.

`cblas_srotg`

Constructs a Givens rotation matrix.

`cblas_srotm`

Applies a modified Givens transformation (single precision).

`cblas_srotmg`

Generates a modified Givens rotation matrix.

`cblas_ssbmv`

Scales a symmetric band matrix, then multiplies by a vector, then adds a vector (single-precision).

`cblas_sscal`

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

`cblas_sspr`

Rank one update: adds a packed symmetric matrix to the product of a scaling factor, a vector, and its transpose (single precision).

`cblas_sspr2`

Rank two update of a packed symmetric matrix using two vectors (single precision).

`cblas_sswap`

Exchanges the elements of two vectors (single precision).

`cblas_ssymm`

Multiplies a matrix by a symmetric matrix (single-precision).

`cblas_ssymv`

Scales a symmetric matrix, multiplies by a vector, then scales and adds another vector (single precision).

`cblas_ssyr`

Rank one update: adds a symmetric matrix to the product of a scaling factor, a vector, and its transpose (single precision).

`cblas_ssyr2`

Rank two update of a symmetric matrix using two vectors (single precision).

`cblas_ssyr2k`

Performs a rank-2k update of a symmetric matrix (single precision).

`cblas_ssyrk`

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

`cblas_stbmv`

Scales a triangular band matrix, then multiplies by a vector (single precision).

`cblas_stbsv`

Solves a triangular banded system of equations.

`cblas_stpmv`

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

`cblas_stpsv`

Solves a packed triangular system of equations.

`cblas_strmm`

Scales a triangular matrix and multiplies it by a matrix.

`cblas_strmv`

Multiplies a triangular matrix by a vector.

`cblas_strsm`

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

`cblas_strsv`

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