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.