Man page - langt(3)

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Manual

langt

NAME
SYNOPSIS
Functions
Detailed Description
Function Documentation
real function clangt (character norm, integer n, complex, dimension( * )dl, complex, dimension( * ) d, complex, dimension( * ) du)
double precision function dlangt (character norm, integer n, doubleprecision, dimension( * ) dl, double precision, dimension( * ) d,double precision, dimension( * ) du)
real function slangt (character norm, integer n, real, dimension( * ) dl,real, dimension( * ) d, real, dimension( * ) du)
double precision function zlangt (character norm, integer n, complex*16,dimension( * ) dl, complex*16, dimension( * ) d, complex*16, dimension(* ) du)
Author

NAME

langt - langt: general matrix, tridiagonal

SYNOPSIS

Functions

real function clangt (norm, n, dl, d, du)
CLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
double precision function dlangt (norm, n, dl, d, du)
DLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
real function slangt (norm, n, dl, d, du)
SLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.
double precision function zlangt (norm, n, dl, d, du)
ZLANGT returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general tridiagonal matrix.

Detailed Description

Function Documentation

real function clangt (character norm, integer n, complex, dimension( * )dl, complex, dimension( * ) d, complex, dimension( * ) du)

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

Purpose:

CLANGT 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 tridiagonal matrix A.

Returns

CLANGT

CLANGT = ( 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 CLANGT as described
above.

N

N is INTEGER
The order of the matrix A. N >= 0. When N = 0, CLANGT is
set to zero.

DL

DL is COMPLEX array, dimension (N-1)
The (n-1) sub-diagonal elements of A.

D

D is COMPLEX array, dimension (N)
The diagonal elements of A.

DU

DU is COMPLEX array, dimension (N-1)
The (n-1) super-diagonal elements of A.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function dlangt (character norm, integer n, doubleprecision, dimension( * ) dl, double precision, dimension( * ) d,double precision, dimension( * ) du)

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

Purpose:

DLANGT 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 tridiagonal matrix A.

Returns

DLANGT

DLANGT = ( 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 DLANGT as described
above.

N

N is INTEGER
The order of the matrix A. N >= 0. When N = 0, DLANGT is
set to zero.

DL

DL is DOUBLE PRECISION array, dimension (N-1)
The (n-1) sub-diagonal elements of A.

D

D is DOUBLE PRECISION array, dimension (N)
The diagonal elements of A.

DU

DU is DOUBLE PRECISION array, dimension (N-1)
The (n-1) super-diagonal elements of A.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

real function slangt (character norm, integer n, real, dimension( * ) dl,real, dimension( * ) d, real, dimension( * ) du)

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

Purpose:

SLANGT 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 tridiagonal matrix A.

Returns

SLANGT

SLANGT = ( 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 SLANGT as described
above.

N

N is INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANGT is
set to zero.

DL

DL is REAL array, dimension (N-1)
The (n-1) sub-diagonal elements of A.

D

D is REAL array, dimension (N)
The diagonal elements of A.

DU

DU is REAL array, dimension (N-1)
The (n-1) super-diagonal elements of A.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

double precision function zlangt (character norm, integer n, complex*16,dimension( * ) dl, complex*16, dimension( * ) d, complex*16, dimension(* ) du)

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

Purpose:

ZLANGT 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 tridiagonal matrix A.

Returns

ZLANGT

ZLANGT = ( 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 ZLANGT as described
above.

N

N is INTEGER
The order of the matrix A. N >= 0. When N = 0, ZLANGT is
set to zero.

DL

DL is COMPLEX*16 array, dimension (N-1)
The (n-1) sub-diagonal elements of A.

D

D is COMPLEX*16 array, dimension (N)
The diagonal elements of A.

DU

DU is COMPLEX*16 array, dimension (N-1)
The (n-1) super-diagonal elements of A.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Author

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