table of contents
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dppsv.f(3) | Library Functions Manual | /home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dppsv.f(3) |
NAME¶
/home/abuild/rpmbuild/BUILD/lapack-3.12.0/SRC/dppsv.f
SYNOPSIS¶
Functions/Subroutines¶
subroutine DPPSV (uplo, n, nrhs, ap, b, ldb, info)
DPPSV computes the solution to system of linear equations A * X = B for
OTHER matrices
Function/Subroutine Documentation¶
subroutine DPPSV (character uplo, integer n, integer nrhs, double precision, dimension( * ) ap, double precision, dimension( ldb, * ) b, integer ldb, integer info)¶
DPPSV computes the solution to system of linear equations A * X = B for OTHER matrices
Purpose:
!> !> DPPSV computes the solution to a real system of linear equations !> A * X = B, !> where A is an N-by-N symmetric positive definite matrix stored in !> packed format and X and B are N-by-NRHS matrices. !> !> The Cholesky decomposition is used to factor A as !> A = U**T* U, if UPLO = 'U', or !> A = L * L**T, if UPLO = 'L', !> where U is an upper triangular matrix and L is a lower triangular !> matrix. The factored form of A is then used to solve the system of !> equations A * X = B. !>
Parameters
UPLO
!> UPLO is CHARACTER*1 !> = 'U': Upper triangle of A is stored; !> = 'L': Lower triangle of A is stored. !>
N
!> N is INTEGER !> The number of linear equations, i.e., the order of the !> matrix A. N >= 0. !>
NRHS
!> NRHS is INTEGER !> The number of right hand sides, i.e., the number of columns !> of the matrix B. NRHS >= 0. !>
AP
!> AP is DOUBLE PRECISION array, dimension (N*(N+1)/2) !> On entry, the upper or lower triangle of the symmetric matrix !> A, packed columnwise in a linear array. The j-th column of A !> is stored in the array AP as follows: !> if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j; !> if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n. !> See below for further details. !> !> On exit, if INFO = 0, the factor U or L from the Cholesky !> factorization A = U**T*U or A = L*L**T, in the same storage !> format as A. !>
B
!> B is DOUBLE PRECISION array, dimension (LDB,NRHS) !> On entry, the N-by-NRHS right hand side matrix B. !> On exit, if INFO = 0, the N-by-NRHS 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 !> > 0: if INFO = i, the leading principal minor of order i !> of A is not positive, so the factorization could not !> be completed, and the solution has not been computed. !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Further Details:
!> !> The packed storage scheme is illustrated by the following example !> when N = 4, UPLO = 'U': !> !> Two-dimensional storage of the symmetric matrix A: !> !> a11 a12 a13 a14 !> a22 a23 a24 !> a33 a34 (aij = conjg(aji)) !> a44 !> !> Packed storage of the upper triangle of A: !> !> AP = [ a11, a12, a22, a13, a23, a33, a14, a24, a34, a44 ] !>
Definition at line 143 of file dppsv.f.
Author¶
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