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zlangb(l) [redhat man page]

ZLANGB(l)								 )								 ZLANGB(l)

NAME
ZLANGB - return the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n band matrix A, with kl sub-diagonals and ku super-diagonals SYNOPSIS
DOUBLE PRECISION FUNCTION ZLANGB( NORM, N, KL, KU, AB, LDAB, WORK ) CHARACTER NORM INTEGER KL, KU, LDAB, N DOUBLE PRECISION WORK( * ) COMPLEX*16 AB( LDAB, * ) PURPOSE
ZLANGB returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n band matrix A, with kl sub-diagonals and ku super-diagonals. DESCRIPTION
ZLANGB returns the value ZLANGB = ( 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 matrix norm. ARGUMENTS
NORM (input) CHARACTER*1 Specifies the value to be returned in ZLANGB as described above. N (input) INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANGB is set to zero. KL (input) INTEGER The number of sub-diagonals of the matrix A. KL >= 0. KU (input) INTEGER The number of super-diagonals of the matrix A. KU >= 0. AB (input) COMPLEX*16 array, dimension (LDAB,N) The band matrix A, stored in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the array AB as follows: AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl). LDAB (input) INTEGER The leading dimension of the array AB. LDAB >= KL+KU+1. WORK (workspace) DOUBLE PRECISION array, dimension (LWORK), where LWORK >= N when NORM = 'I'; otherwise, WORK is not referenced. LAPACK version 3.0 15 June 2000 ZLANGB(l)

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zlangb.f(3)							      LAPACK							       zlangb.f(3)

NAME
zlangb.f - SYNOPSIS
Functions/Subroutines DOUBLE PRECISION function zlangb (NORM, N, KL, KU, AB, LDAB, WORK) ZLANGB Function/Subroutine Documentation DOUBLE PRECISION function zlangb (characterNORM, integerN, integerKL, integerKU, complex*16, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )WORK) ZLANGB Purpose: ZLANGB returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of an n by n band matrix A, with kl sub-diagonals and ku super-diagonals. Returns: ZLANGB ZLANGB = ( 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 ZLANGB as described above. N N is INTEGER The order of the matrix A. N >= 0. When N = 0, ZLANGB is set to zero. KL KL is INTEGER The number of sub-diagonals of the matrix A. KL >= 0. KU KU is INTEGER The number of super-diagonals of the matrix A. KU >= 0. AB AB is COMPLEX*16 array, dimension (LDAB,N) The band matrix A, stored in rows 1 to KL+KU+1. The j-th column of A is stored in the j-th column of the array AB as follows: AB(ku+1+i-j,j) = A(i,j) for max(1,j-ku)<=i<=min(n,j+kl). LDAB LDAB is INTEGER The leading dimension of the array AB. LDAB >= KL+KU+1. WORK WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), where LWORK >= N when NORM = 'I'; otherwise, WORK is not referenced. Author: Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Date: November 2011 Definition at line 125 of file zlangb.f. Author Generated automatically by Doxygen for LAPACK from the source code. Version 3.4.1 Sun May 26 2013 zlangb.f(3)
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