NAME¶

DLANST - 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¶

DOUBLE PRECISION

FUNCTION DLANST( NORM, N, D, E )

CHARACTER NORM INTEGER N DOUBLE PRECISION D( * ), E( * )

PURPOSE¶

DLANST 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¶

DLANST returns the value
DLANST = ( 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 DLANST as described above.

N (input) INTEGER

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

D (input) DOUBLE PRECISION array, dimension (N)

The diagonal elements of A.

E (input) DOUBLE PRECISION array, dimension (N-1)

The (n-1) sub-diagonal or super-diagonal elements of A.