Scroll to navigation

dpbtrs.f(3) LAPACK dpbtrs.f(3)

NAME

dpbtrs.f -

SYNOPSIS

Functions/Subroutines


subroutine dpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
 
DPBTRS

Function/Subroutine Documentation

subroutine dpbtrs (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO)

DPBTRS
Purpose:
 DPBTRS solves a system of linear equations A*X = B with a symmetric
 positive definite band matrix A using the Cholesky factorization
 A = U**T*U or A = L*L**T computed by DPBTRF.
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 DOUBLE PRECISION array, dimension (LDAB,N)
          The triangular factor U or L from the Cholesky factorization
          A = U**T*U or A = L*L**T 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 DOUBLE PRECISION 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.
Date:
November 2011
Definition at line 122 of file dpbtrs.f.

Author

Generated automatically by Doxygen for LAPACK from the source code.
Wed Oct 15 2014 Version 3.4.2