larscl2(3)

NAME
larscl2 - 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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