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clanht.f(3) LAPACK clanht.f(3)

NAME

clanht.f -

SYNOPSIS

Functions/Subroutines


real function clanht (NORM, N, D, E)
 
CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix.

Function/Subroutine Documentation

real function clanht (characterNORM, integerN, real, dimension( * )D, complex, dimension( * )E)

CLANHT returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian tridiagonal matrix.
Purpose:
 CLANHT  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 Hermitian tridiagonal matrix A.
Returns:
CLANHT
    CLANHT = ( 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 CLANHT as described
          above.
N
          N is INTEGER
          The order of the matrix A.  N >= 0.  When N = 0, CLANHT is
          set to zero.
D
          D is REAL array, dimension (N)
          The diagonal elements of A.
E
          E is COMPLEX array, dimension (N-1)
          The (n-1) sub-diagonal or super-diagonal elements of A.
Author:
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
September 2012
Definition at line 102 of file clanht.f.

Author

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