LinearAlgebra`BLAS`
LinearAlgebra`BLAS`

# GER

GER[α,x,y,a]

computes the rank-one update a+αOuter[Times,x,y] and resets a to the result.

# Details

• To use GER, you first need to load the BLAS Package using Needs["LinearAlgebra`BLAS`"].
• The following arguments must be given:
•  α input expression scalar mutliple x input expression vector y input expression vector a input/output symbol matrix; the symbol value is modified in place
• Dimensions of the matrix and vector arguments must be such that the dot product and addition are well defined.

# Examples

open allclose all

## Basic Examples(1)

Apply a rank-one update to a matrix:

## Scope(4)

Real matrix and vectors:

Complex matrix and vectors:

Arbitrary-precision matrix and vectors:

Integer-symbolic matrix and vectors:

## Properties & Relations(1)

GER[α,x,y,a] is equivalent to a=a+αOuter[Times,x,y]:

This can also be expressed as a=a+αTranspose[{x}].{y}:

## Possible Issues(2)

The last argument must be a symbol: The last argument must be initialized to a matrix: 