lascl

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.

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

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

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

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

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

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

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

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

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

          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, complex16, 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 is INTEGER
          The lower bandwidth of A.  Referenced only if TYPE = 'B',
          'Q' or 'Z'.

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

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

          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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