SRC/zpbtrs.f(3)            Library Functions Manual            SRC/zpbtrs.f(3)

NAME
       SRC/zpbtrs.f

SYNOPSIS
   Functions/Subroutines
       subroutine zpbtrs (uplo, n, kd, nrhs, ab, ldab, b, ldb, info)
           ZPBTRS

Function/Subroutine Documentation
   subroutine zpbtrs (character uplo, integer n, integer kd, integer nrhs,
       complex*16, dimension( ldab, * ) ab, integer ldab, complex*16,
       dimension( ldb, * ) b, integer ldb, integer info)
       ZPBTRS

       Purpose:


            ZPBTRS solves a system of linear equations A*X = B with a Hermitian
            positive definite band matrix A using the Cholesky factorization
            A = U**H *U or A = L*L**H computed by ZPBTRF.

       Parameters
           UPLO

                     UPLO is CHARACTER*1
                     = 'U':  Upper triangular factor stored in AB;
                     = 'L':  Lower triangular factor stored in AB.

           N

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

           KD

                     KD is INTEGER
                     The number of superdiagonals of the matrix A if UPLO = 'U',
                     or the number of subdiagonals if UPLO = 'L'.  KD >= 0.

           NRHS

                     NRHS is INTEGER
                     The number of right hand sides, i.e., the number of columns
                     of the matrix B.  NRHS >= 0.

           AB

                     AB is COMPLEX*16 array, dimension (LDAB,N)
                     The triangular factor U or L from the Cholesky factorization
                     A = U**H *U or A = L*L**H of the band matrix A, stored in the
                     first KD+1 rows of the array.  The j-th column of U or L is
                     stored in the j-th column of the array AB as follows:
                     if UPLO ='U', AB(kd+1+i-j,j) = U(i,j) for max(1,j-kd)<=i<=j;
                     if UPLO ='L', AB(1+i-j,j)    = L(i,j) for j<=i<=min(n,j+kd).

           LDAB

                     LDAB is INTEGER
                     The leading dimension of the array AB.  LDAB >= KD+1.

           B

                     B is COMPLEX*16 array, dimension (LDB,NRHS)
                     On entry, the right hand side matrix B.
                     On exit, the solution matrix X.

           LDB

                     LDB is INTEGER
                     The leading dimension of the array B.  LDB >= max(1,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.

       Definition at line 120 of file zpbtrs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/zpbtrs.f(3)