# larscl2 - Man Page

larscl2: reciprocal diagonal scale matrix, A = D^{-1} A

## Synopsis

### Functions

subroutine clarscl2 (m, n, d, x, ldx)
CLARSCL2 performs reciprocal diagonal scaling on a matrix.
subroutine dlarscl2 (m, n, d, x, ldx)
DLARSCL2 performs reciprocal diagonal scaling on a matrix.
subroutine slarscl2 (m, n, d, x, ldx)
SLARSCL2 performs reciprocal diagonal scaling on a matrix.
subroutine zlarscl2 (m, n, d, x, ldx)
ZLARSCL2 performs reciprocal diagonal scaling on a matrix.

## Function Documentation

### subroutine clarscl2 (integer m, integer n, real, dimension( * ) d, complex, dimension( ldx, * ) x, integer ldx)

CLARSCL2 performs reciprocal diagonal scaling on a matrix.

Purpose:

``` CLARSCL2 performs a reciprocal diagonal scaling on a matrix:
x <-- inv(D) * x
where the REAL diagonal matrix D is stored as a vector.

Eventually to be replaced by BLAS_cge_diag_scale in the new BLAS
standard.```
Parameters

M

```          M is INTEGER
The number of rows of D and X. M >= 0.```

N

```          N is INTEGER
The number of columns of X. N >= 0.```

D

```          D is REAL array, length M
Diagonal matrix D, stored as a vector of length M.```

X

```          X is COMPLEX array, dimension (LDX,N)
On entry, the matrix X to be scaled by D.
On exit, the scaled matrix.```

LDX

```          LDX is INTEGER
The leading dimension of the matrix X. LDX >= M.```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 90 of file clarscl2.f.

### subroutine dlarscl2 (integer m, integer n, double precision, dimension( * ) d, double precision, dimension( ldx, * ) x, integer ldx)

DLARSCL2 performs reciprocal diagonal scaling on a matrix.

Purpose:

``` DLARSCL2 performs a reciprocal diagonal scaling on a matrix:
x <-- inv(D) * x
where the diagonal matrix D is stored as a vector.

Eventually to be replaced by BLAS_dge_diag_scale in the new BLAS
standard.```
Parameters

M

```          M is INTEGER
The number of rows of D and X. M >= 0.```

N

```          N is INTEGER
The number of columns of X. N >= 0.```

D

```          D is DOUBLE PRECISION array, dimension (M)
Diagonal matrix D, stored as a vector of length M.```

X

```          X is DOUBLE PRECISION array, dimension (LDX,N)
On entry, the matrix X to be scaled by D.
On exit, the scaled matrix.```

LDX

```          LDX is INTEGER
The leading dimension of the matrix X. LDX >= M.```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 89 of file dlarscl2.f.

### subroutine slarscl2 (integer m, integer n, real, dimension( * ) d, real, dimension( ldx, * ) x, integer ldx)

SLARSCL2 performs reciprocal diagonal scaling on a matrix.

Purpose:

``` SLARSCL2 performs a reciprocal diagonal scaling on a matrix:
x <-- inv(D) * x
where the diagonal matrix D is stored as a vector.

Eventually to be replaced by BLAS_sge_diag_scale in the new BLAS
standard.```
Parameters

M

```          M is INTEGER
The number of rows of D and X. M >= 0.```

N

```          N is INTEGER
The number of columns of X. N >= 0.```

D

```          D is REAL array, length M
Diagonal matrix D, stored as a vector of length M.```

X

```          X is REAL array, dimension (LDX,N)
On entry, the matrix X to be scaled by D.
On exit, the scaled matrix.```

LDX

```          LDX is INTEGER
The leading dimension of the matrix X. LDX >= M.```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 89 of file slarscl2.f.

### subroutine zlarscl2 (integer m, integer n, double precision, dimension( * ) d, complex*16, dimension( ldx, * ) x, integer ldx)

ZLARSCL2 performs reciprocal diagonal scaling on a matrix.

Purpose:

``` ZLARSCL2 performs a reciprocal diagonal scaling on a matrix:
x <-- inv(D) * x
where the DOUBLE PRECISION diagonal matrix D is stored as a vector.

Eventually to be replaced by BLAS_zge_diag_scale in the new BLAS
standard.```
Parameters

M

```          M is INTEGER
The number of rows of D and X. M >= 0.```

N

```          N is INTEGER
The number of columns of X. N >= 0.```

D

```          D is DOUBLE PRECISION array, length M
Diagonal matrix D, stored as a vector of length M.```

X

```          X is COMPLEX*16 array, dimension (LDX,N)
On entry, the matrix X to be scaled by D.
On exit, the scaled matrix.```

LDX

```          LDX is INTEGER
The leading dimension of the matrix X. LDX >= M.```
Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 90 of file zlarscl2.f.

## Author

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## Info

Tue Nov 28 2023 12:08:43 Version 3.12.0 LAPACK