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slanst.f(3) LAPACK slanst.f(3)

NAME

slanst.f -

SYNOPSIS

Functions/Subroutines


real function slanst (NORM, N, D, E)
 
SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix.

Function/Subroutine Documentation

real function slanst (characterNORM, integerN, real, dimension( * )D, real, dimension( * )E)

SLANST returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a real symmetric tridiagonal matrix.
Purpose:
 SLANST  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 symmetric tridiagonal matrix A.
Returns:
SLANST
    SLANST = ( 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 SLANST as described
          above.
N
          N is INTEGER
          The order of the matrix A.  N >= 0.  When N = 0, SLANST is
          set to zero.
D
          D is REAL array, dimension (N)
          The diagonal elements of A.
E
          E is REAL 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 101 of file slanst.f.

Author

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