cgbcon.f (3) Linux Manual Page

cgbcon.f –

Synopsis

Functions/Subroutines

subroutine cgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, RWORK, INFO)
CGBCON

Function/Subroutine Documentation

subroutine cgbcon (characterNORM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)

CGBCON

Purpose:

 CGBCON estimates the reciprocal of the condition number of a complex

 general band matrix A, in either the 1-norm or the infinity-norm,

 using the LU factorization computed by CGBTRF.

 An estimate is obtained for norm(inv(A)), and the reciprocal of the

 condition number is computed as

 RCOND = 1 / ( norm(A) * norm(inv(A)) ).

 

Parameters:

NORM

 NORM is CHARACTER*1

 Specifies whether the 1-norm condition number or the

 infinity-norm condition number is required:

 = ‘1’ or ‘O’: 1-norm;

 = ‘I’: Infinity-norm.

N

 N is INTEGER

 The order of the matrix A. N >= 0.

KL

 KL is INTEGER

 The number of subdiagonals within the band of A. KL >= 0.

KU

 KU is INTEGER

 The number of superdiagonals within the band of A. KU >= 0.

AB

 AB is COMPLEX array, dimension (LDAB,N)

 Details of the LU factorization of the band matrix A, as

 computed by CGBTRF. U is stored as an upper triangular band

 matrix with KL+KU superdiagonals in rows 1 to KL+KU+1, and

 the multipliers used during the factorization are stored in

 rows KL+KU+2 to 2*KL+KU+1.

LDAB

 LDAB is INTEGER

 The leading dimension of the array AB. LDAB >= 2*KL+KU+1.

IPIV

 IPIV is INTEGER array, dimension (N)

 The pivot indices; for 1 <= i <= N, row i of the matrix was

 interchanged with row IPIV(i).

ANORM

 ANORM is REAL

 If NORM = ‘1’ or ‘O’, the 1-norm of the original matrix A.

 If NORM = ‘I’, the infinity-norm of the original matrix A.

RCOND

 RCOND is REAL

 The reciprocal of the condition number of the matrix A,

 computed as RCOND = 1/(norm(A) * norm(inv(A))).

WORK

 WORK is COMPLEX array, dimension (2*N)

RWORK

 RWORK is REAL array, dimension (N)

INFO

 INFO is INTEGER

 = 0: successful exit

 < 0: if INFO = -i, the i-th argument had an illegal value

 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Definition at line 147 of file cgbcon.f.

Author

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