Man page - lange(3)

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Manual

lange

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
real function clange (character norm, integer m, integer n, complex,dimension( lda, * ) a, integer lda, real, dimension( * ) work)
double precision function dlange (character norm, integer m, integer n,double precision, dimension( lda, * ) a, integer lda, double precision,dimension( * ) work)
real function slange (character norm, integer m, integer n, real,dimension( lda, * ) a, integer lda, real, dimension( * ) work)
double precision function zlange (character norm, integer m, integer n,complex*16, dimension( lda, * ) a, integer lda, double precision,dimension( * ) work)
Author

NAME

lange - lange: general matrix

SYNOPSIS

Functions

real function clange (norm, m, n, a, lda, work)
CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
double precision function dlange (norm, m, n, a, lda, work)
DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
real function slange (norm, m, n, a, lda, work)
SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
double precision function zlange (norm, m, n, a, lda, work)
ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Detailed Description

Function Documentation

real function clange (character norm, integer m, integer n, complex,dimension( lda, * ) a, integer lda, real, dimension( * ) work)

CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Purpose:

CLANGE returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
complex matrix A.

Returns

CLANGE

CLANGE = ( max(abs(A(i,j))), NORM = ’M’ or ’m’
(
( norm1(A), NORM = ’1’, ’O’ or ’o’
(
( normI(A), NORM = ’I’ or ’i’
(
( normF(A), NORM = ’F’, ’f’, ’E’ or ’e’

where norm1 denotes the one norm of a matrix (maximum column sum),
normI denotes the infinity norm of a matrix (maximum row sum) and
normF denotes the Frobenius norm of a matrix (square root of sum of
squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.

Parameters

NORM

NORM is CHARACTER*1
Specifies the value to be returned in CLANGE as described
above.

M

M is INTEGER
The number of rows of the matrix A. M >= 0. When M = 0,
CLANGE is set to zero.

N

N is INTEGER
The number of columns of the matrix A. N >= 0. When N = 0,
CLANGE is set to zero.

A

A is COMPLEX array, dimension (LDA,N)
The m by n matrix A.

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max(M,1).

WORK

WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= M when NORM = ’I’; otherwise, WORK is not
referenced.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function dlange (character norm, integer m, integer n,double precision, dimension( lda, * ) a, integer lda, double precision,dimension( * ) work)

DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Purpose:

DLANGE returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real matrix A.

Returns

DLANGE

DLANGE = ( max(abs(A(i,j))), NORM = ’M’ or ’m’
(
( norm1(A), NORM = ’1’, ’O’ or ’o’
(
( normI(A), NORM = ’I’ or ’i’
(
( normF(A), NORM = ’F’, ’f’, ’E’ or ’e’

where norm1 denotes the one norm of a matrix (maximum column sum),
normI denotes the infinity norm of a matrix (maximum row sum) and
normF denotes the Frobenius norm of a matrix (square root of sum of
squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.

Parameters

NORM

NORM is CHARACTER*1
Specifies the value to be returned in DLANGE as described
above.

M

M is INTEGER
The number of rows of the matrix A. M >= 0. When M = 0,
DLANGE is set to zero.

N

N is INTEGER
The number of columns of the matrix A. N >= 0. When N = 0,
DLANGE is set to zero.

A

A is DOUBLE PRECISION array, dimension (LDA,N)
The m by n matrix A.

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max(M,1).

WORK

WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
where LWORK >= M when NORM = ’I’; otherwise, WORK is not
referenced.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

real function slange (character norm, integer m, integer n, real,dimension( lda, * ) a, integer lda, real, dimension( * ) work)

SLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Purpose:

SLANGE returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real matrix A.

Returns

SLANGE

SLANGE = ( max(abs(A(i,j))), NORM = ’M’ or ’m’
(
( norm1(A), NORM = ’1’, ’O’ or ’o’
(
( normI(A), NORM = ’I’ or ’i’
(
( normF(A), NORM = ’F’, ’f’, ’E’ or ’e’

where norm1 denotes the one norm of a matrix (maximum column sum),
normI denotes the infinity norm of a matrix (maximum row sum) and
normF denotes the Frobenius norm of a matrix (square root of sum of
squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.

Parameters

NORM

NORM is CHARACTER*1
Specifies the value to be returned in SLANGE as described
above.

M

M is INTEGER
The number of rows of the matrix A. M >= 0. When M = 0,
SLANGE is set to zero.

N

N is INTEGER
The number of columns of the matrix A. N >= 0. When N = 0,
SLANGE is set to zero.

A

A is REAL array, dimension (LDA,N)
The m by n matrix A.

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max(M,1).

WORK

WORK is REAL array, dimension (MAX(1,LWORK)),
where LWORK >= M when NORM = ’I’; otherwise, WORK is not
referenced.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function zlange (character norm, integer m, integer n,complex*16, dimension( lda, * ) a, integer lda, double precision,dimension( * ) work)

ZLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.

Purpose:

ZLANGE returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
complex matrix A.

Returns

ZLANGE

ZLANGE = ( max(abs(A(i,j))), NORM = ’M’ or ’m’
(
( norm1(A), NORM = ’1’, ’O’ or ’o’
(
( normI(A), NORM = ’I’ or ’i’
(
( normF(A), NORM = ’F’, ’f’, ’E’ or ’e’

where norm1 denotes the one norm of a matrix (maximum column sum),
normI denotes the infinity norm of a matrix (maximum row sum) and
normF denotes the Frobenius norm of a matrix (square root of sum of
squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.

Parameters

NORM

NORM is CHARACTER*1
Specifies the value to be returned in ZLANGE as described
above.

M

M is INTEGER
The number of rows of the matrix A. M >= 0. When M = 0,
ZLANGE is set to zero.

N

N is INTEGER
The number of columns of the matrix A. N >= 0. When N = 0,
ZLANGE is set to zero.

A

A is COMPLEX*16 array, dimension (LDA,N)
The m by n matrix A.

LDA

LDA is INTEGER
The leading dimension of the array A. LDA >= max(M,1).

WORK

WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
where LWORK >= M when NORM = ’I’; otherwise, WORK is not
referenced.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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