# 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.

## Detailed Description

## 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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