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.

   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.

   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.

   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.

Author

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Version 3.12.0                              Tue Jan 28 2025 00:54:31                                  larscl2(3)