Performs the rank 1 operation A := alpha*x*y**T + A, where alpha is a scalar, x is an m element vector, y is an n element vector and A is an m by n matrix.

## Definition

Namespace: Extreme.Collections
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 9.0.0
C#
``````public static void RankUpdate<T>(
this ILinearAlgebraOperations<T> operations,
int m,
int n,
T alpha,
Span2D<T> a
)
``````

#### Parameters

operations  ILinearAlgebraOperations<T>

m  Int32
```             On entry, M specifies the number of rows of the matrix A.
M must be at least zero.
```
n  Int32
```             On entry, N specifies the number of columns of the matrix A.
N must be at least zero.
```
alpha  T
```            ALPHA is DOUBLE PRECISION.
On entry, ALPHA specifies the scalar alpha.
```
```            X is DOUBLE PRECISION array of dimension at least
( 1 + ( m - 1 )*abs( INCX ) ).
Before entry, the incremented array X must contain the m
element vector x.
```
```             On entry, INCX specifies the increment for the elements of
X. INCX must not be zero.
```
```            Y is DOUBLE PRECISION array of dimension at least
( 1 + ( n - 1 )*abs( INCY ) ).
Before entry, the incremented array Y must contain the n
element vector y.
```
```             On entry, INCY specifies the increment for the elements of
Y. INCY must not be zero.
```
a  Span2D<T>
```            A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
Before entry, the leading m by n part of the array A must
contain the matrix of coefficients. On exit, A is
overwritten by the updated matrix.
```
```             On entry, LDA specifies the first dimension of A as declared
in the calling (sub) program. LDA must be at least
max( 1, m ).
```

T

#### Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type ILinearAlgebraOperations<T>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

## Remarks

``` Further Details:            Level 2 LinearAlgebra routine.
-- Written on 22-October-1986.
Jack Dongarra, Argonne National Lab.
Jeremy Du Croz, Nag Central Office.
Sven Hammarling, Nag Central Office.
Richard Hanson, Sandia National Labs.
Authors:
Univ. of Tennessee,
Univ. of California Berkeley,