Man page - lascl(3)

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Manual

lascl

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
subroutine clascl (character type, integer kl, integer ku, real cfrom, realcto, integer m, integer n, complex, dimension( lda, * ) a, integer lda,integer info)
subroutine dlascl (character type, integer kl, integer ku, double precisioncfrom, double precision cto, integer m, integer n, double precision,dimension( lda, * ) a, integer lda, integer info)
subroutine slascl (character type, integer kl, integer ku, real cfrom, realcto, integer m, integer n, real, dimension( lda, * ) a, integer lda,integer info)
subroutine zlascl (character type, integer kl, integer ku, double precisioncfrom, double precision cto, integer m, integer n, complex*16,dimension( lda, * ) a, integer lda, integer info)
Author

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, realcto, 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 precisioncfrom, 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, realcto, 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 precisioncfrom, 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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