?lanst/?lanht

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 or complex Hermitian tridiagonal matrix.

Syntax

val = slanst( norm, n, d, e )

val = dlanst( norm, n, d, e )

val = clanht( norm, n, d, e )

val = zlanht( norm, n, d, e )

Include Files

The FORTRAN 77 interfaces are specified in the mkl_lapack.fi include file (to be used in Fortran programs) and in the mkl_lapack.h include file (to be used in C programs).

Description

The functions ?lanst/?lanht return 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 or a complex Hermitian tridiagonal matrix A.

Input Parameters

norm

CHARACTER*1. Specifies the value to be returned by the routine:

= 'M' or 'm': val = max(abs(A_ij)), largest absolute value of the matrix A.

= '1' or 'O' or 'o': val = norm1(A), 1-norm of the matrix A (maximum column sum),

= 'I' or 'i': val = normI(A), infinity norm of the matrix A (maximum row sum),

= 'F', 'f', 'E' or 'e': val = normF(A), Frobenius norm of the matrix A (square root of sum of squares).

n

INTEGER. The order of the matrix A.

n ≥ 0. When n = 0, ?lanst/?lanht is set to zero.

d

REAL for slanst/clanht

DOUBLE PRECISION for dlanst/zlanht

Array, DIMENSION (n). The diagonal elements of A.

e

REAL for slanst

DOUBLE PRECISION for dlanst

COMPLEX for clanht

DOUBLE COMPLEX for zlanht

Array, DIMENSION (n-1).

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

Output Parameters

val

REAL for slanst/clanht

DOUBLE PRECISION for dlanst/zlanht

Value returned by the function.