SLANST(1) LAPACK auxiliary routine (version 3.2) SLANST(1)NAME
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
SYNOPSIS
REAL FUNCTION SLANST( NORM, N, D, E )
CHARACTER NORM
INTEGER N
REAL D( * ), E( * )
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.
DESCRIPTION
SLANST returns the value
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.
ARGUMENTS
NORM (input) CHARACTER*1
Specifies the value to be returned in SLANST as described
above.
N (input) INTEGER
The order of the matrix A. N >= 0. When N = 0, SLANST is set
to zero.
D (input) REAL array, dimension (N)
The diagonal elements of A.
E (input) REAL array, dimension (N-1)
The (n-1) sub-diagonal or super-diagonal elements of A.
LAPACK auxiliary routine (versioNovember 2008 SLANST(1)