sgbco
sgbco - (obsolete) compute the LU factorization and condition number of a general matrix A
in banded storage. If the condition number is not needed then SGBFA
is slightly faster. It is typical to follow a call to SGBCO with a call
to SGBSL to solve Ax = b or to SGBDI to compute the determinant of A.
SUBROUTINE SGBCO( A, LDA, N, NSUB, NSUPER, IPIVOT, RCOND, WORK)
INTEGER LDA, N, NSUB, NSUPER
INTEGER IPIVOT(*)
REAL RCOND
REAL A(LDA,*), WORK(*)
SUBROUTINE SGBCO_64( A, LDA, N, NSUB, NSUPER, IPIVOT, RCOND, WORK)
INTEGER*8 LDA, N, NSUB, NSUPER
INTEGER*8 IPIVOT(*)
REAL RCOND
REAL A(LDA,*), WORK(*)
#include <sunperf.h>
void sgbco(float *a, int lda, int n, int nsub, int nsuper, int *ipivot, float *rcond);
void sgbco_64(float *a, long lda, long n, long nsub, long nsuper, long *ipivot, float *rcond);
-
* A (input/output)
-
On entry, the matrix A.
On exit, an LU factorization of the matrix A.
-
* LDA (input)
-
Leading dimension of the array A as specified in a dimension or type statement.
LDA >= 2 * NSUB + NSUPER + 1.
-
* N (input)
-
Order of the matrix A. N >= 0.
-
* NSUB (input)
-
Number of subdiagonals of A. N-1 >= NSUB >= 0 but if N = 0 then
NSUB = 0.
-
* NSUPER (input)
-
Number of superdiagonals of A. N-1 >= NSUPER >= 0 but if N = 0
then NSUPER = 0.
-
* IPIVOT (output)
-
On exit, a vector of pivot indices.
-
* RCOND (output)
-
On exit, an estimate of the reciprocal condition number of A.
0.0 <= RCOND <= 1.0. As the value of
RCOND gets smaller, operations with A such as solving Ax = b may become
less stable. If RCOND
satisfies RCOND + 1.0 = 1.0 then A may be singular to working precision.
-
* WORK (workspace)
-
Scratch array with a dimension of N.