Provided by: liblapack-doc_3.12.0-3build1.1_all bug

NAME

       lascl - lascl: scale matrix

SYNOPSIS

   Functions
       subroutine clascl (type, kl, ku, cfrom, cto, m, n, a, lda, info)
           CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
       subroutine dlascl (type, kl, ku, cfrom, cto, m, n, a, lda, info)
           DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
       subroutine slascl (type, kl, ku, cfrom, cto, m, n, a, lda, info)
           SLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
       subroutine zlascl (type, kl, ku, cfrom, cto, m, n, a, lda, info)
           ZLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

Detailed Description

Function Documentation

   subroutine clascl (character type, integer kl, integer ku, real cfrom, real cto, integer m,
       integer n, complex, dimension( lda, * ) a, integer lda, integer info)
       CLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

       Purpose:

            CLASCL multiplies the M by N complex matrix A by the real scalar
            CTO/CFROM.  This is done without over/underflow as long as the final
            result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
            A may be full, upper triangular, lower triangular, upper Hessenberg,
            or banded.

       Parameters
           TYPE

                     TYPE is CHARACTER*1
                     TYPE indices the storage type of the input matrix.
                     = 'G':  A is a full matrix.
                     = 'L':  A is a lower triangular matrix.
                     = 'U':  A is an upper triangular matrix.
                     = 'H':  A is an upper Hessenberg matrix.
                     = 'B':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the lower
                             half stored.
                     = 'Q':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the upper
                             half stored.
                     = 'Z':  A is a band matrix with lower bandwidth KL and upper
                             bandwidth KU. See CGBTRF for storage details.

           KL

                     KL is INTEGER
                     The lower bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           KU

                     KU is INTEGER
                     The upper bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           CFROM

                     CFROM is REAL

           CTO

                     CTO is REAL

                     The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
                     without over/underflow if the final result CTO*A(I,J)/CFROM
                     can be represented without over/underflow.  CFROM must be
                     nonzero.

           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is COMPLEX array, dimension (LDA,N)
                     The matrix to be multiplied by CTO/CFROM.  See TYPE for the
                     storage type.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.
                     If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
                        TYPE = 'B', LDA >= KL+1;
                        TYPE = 'Q', LDA >= KU+1;
                        TYPE = 'Z', LDA >= 2*KL+KU+1.

           INFO

                     INFO is INTEGER
                     0  - successful exit
                     <0 - if INFO = -i, the i-th argument had an illegal value.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine dlascl (character type, integer kl, integer ku, double precision cfrom, double
       precision cto, integer m, integer n, double precision, dimension( lda, * ) a, integer lda,
       integer info)
       DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

       Purpose:

            DLASCL multiplies the M by N real matrix A by the real scalar
            CTO/CFROM.  This is done without over/underflow as long as the final
            result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
            A may be full, upper triangular, lower triangular, upper Hessenberg,
            or banded.

       Parameters
           TYPE

                     TYPE is CHARACTER*1
                     TYPE indices the storage type of the input matrix.
                     = 'G':  A is a full matrix.
                     = 'L':  A is a lower triangular matrix.
                     = 'U':  A is an upper triangular matrix.
                     = 'H':  A is an upper Hessenberg matrix.
                     = 'B':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the lower
                             half stored.
                     = 'Q':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the upper
                             half stored.
                     = 'Z':  A is a band matrix with lower bandwidth KL and upper
                             bandwidth KU. See DGBTRF for storage details.

           KL

                     KL is INTEGER
                     The lower bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           KU

                     KU is INTEGER
                     The upper bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           CFROM

                     CFROM is DOUBLE PRECISION

           CTO

                     CTO is DOUBLE PRECISION

                     The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
                     without over/underflow if the final result CTO*A(I,J)/CFROM
                     can be represented without over/underflow.  CFROM must be
                     nonzero.

           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is DOUBLE PRECISION array, dimension (LDA,N)
                     The matrix to be multiplied by CTO/CFROM.  See TYPE for the
                     storage type.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.
                     If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
                        TYPE = 'B', LDA >= KL+1;
                        TYPE = 'Q', LDA >= KU+1;
                        TYPE = 'Z', LDA >= 2*KL+KU+1.

           INFO

                     INFO is INTEGER
                     0  - successful exit
                     <0 - if INFO = -i, the i-th argument had an illegal value.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine slascl (character type, integer kl, integer ku, real cfrom, real cto, integer m,
       integer n, real, dimension( lda, * ) a, integer lda, integer info)
       SLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

       Purpose:

            SLASCL multiplies the M by N real matrix A by the real scalar
            CTO/CFROM.  This is done without over/underflow as long as the final
            result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
            A may be full, upper triangular, lower triangular, upper Hessenberg,
            or banded.

       Parameters
           TYPE

                     TYPE is CHARACTER*1
                     TYPE indices the storage type of the input matrix.
                     = 'G':  A is a full matrix.
                     = 'L':  A is a lower triangular matrix.
                     = 'U':  A is an upper triangular matrix.
                     = 'H':  A is an upper Hessenberg matrix.
                     = 'B':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the lower
                             half stored.
                     = 'Q':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the upper
                             half stored.
                     = 'Z':  A is a band matrix with lower bandwidth KL and upper
                             bandwidth KU. See SGBTRF for storage details.

           KL

                     KL is INTEGER
                     The lower bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           KU

                     KU is INTEGER
                     The upper bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           CFROM

                     CFROM is REAL

           CTO

                     CTO is REAL

                     The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
                     without over/underflow if the final result CTO*A(I,J)/CFROM
                     can be represented without over/underflow.  CFROM must be
                     nonzero.

           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is REAL array, dimension (LDA,N)
                     The matrix to be multiplied by CTO/CFROM.  See TYPE for the
                     storage type.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.
                     If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
                        TYPE = 'B', LDA >= KL+1;
                        TYPE = 'Q', LDA >= KU+1;
                        TYPE = 'Z', LDA >= 2*KL+KU+1.

           INFO

                     INFO is INTEGER
                     0  - successful exit
                     <0 - if INFO = -i, the i-th argument had an illegal value.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

   subroutine zlascl (character type, integer kl, integer ku, double precision cfrom, double
       precision cto, integer m, integer n, complex*16, dimension( lda, * ) a, integer lda,
       integer info)
       ZLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.

       Purpose:

            ZLASCL multiplies the M by N complex matrix A by the real scalar
            CTO/CFROM.  This is done without over/underflow as long as the final
            result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
            A may be full, upper triangular, lower triangular, upper Hessenberg,
            or banded.

       Parameters
           TYPE

                     TYPE is CHARACTER*1
                     TYPE indices the storage type of the input matrix.
                     = 'G':  A is a full matrix.
                     = 'L':  A is a lower triangular matrix.
                     = 'U':  A is an upper triangular matrix.
                     = 'H':  A is an upper Hessenberg matrix.
                     = 'B':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the lower
                             half stored.
                     = 'Q':  A is a symmetric band matrix with lower bandwidth KL
                             and upper bandwidth KU and with the only the upper
                             half stored.
                     = 'Z':  A is a band matrix with lower bandwidth KL and upper
                             bandwidth KU. See ZGBTRF for storage details.

           KL

                     KL is INTEGER
                     The lower bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           KU

                     KU is INTEGER
                     The upper bandwidth of A.  Referenced only if TYPE = 'B',
                     'Q' or 'Z'.

           CFROM

                     CFROM is DOUBLE PRECISION

           CTO

                     CTO is DOUBLE PRECISION

                     The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
                     without over/underflow if the final result CTO*A(I,J)/CFROM
                     can be represented without over/underflow.  CFROM must be
                     nonzero.

           M

                     M is INTEGER
                     The number of rows of the matrix A.  M >= 0.

           N

                     N is INTEGER
                     The number of columns of the matrix A.  N >= 0.

           A

                     A is COMPLEX*16 array, dimension (LDA,N)
                     The matrix to be multiplied by CTO/CFROM.  See TYPE for the
                     storage type.

           LDA

                     LDA is INTEGER
                     The leading dimension of the array A.
                     If TYPE = 'G', 'L', 'U', 'H', LDA >= max(1,M);
                        TYPE = 'B', LDA >= KL+1;
                        TYPE = 'Q', LDA >= KU+1;
                        TYPE = 'Z', LDA >= 2*KL+KU+1.

           INFO

                     INFO is INTEGER
                     0  - successful exit
                     <0 - if INFO = -i, the i-th argument had an illegal value.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

Author

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