pptrs(3)                   Library Functions Manual                   pptrs(3)

NAME
       pptrs - pptrs: triangular solve using factor

SYNOPSIS
   Functions
       subroutine cpptrs (uplo, n, nrhs, ap, b, ldb, info)
           CPPTRS
       subroutine dpptrs (uplo, n, nrhs, ap, b, ldb, info)
           DPPTRS
       subroutine spptrs (uplo, n, nrhs, ap, b, ldb, info)
           SPPTRS
       subroutine zpptrs (uplo, n, nrhs, ap, b, ldb, info)
           ZPPTRS

Detailed Description
Function Documentation
   subroutine cpptrs (character uplo, integer n, integer nrhs, complex,
       dimension( * ) ap, complex, dimension( ldb, * ) b, integer ldb, integer
       info)
       CPPTRS

       Purpose:


           !>
           !> CPPTRS solves a system of linear equations A*X = B with a Hermitian
           !> positive definite matrix A in packed storage using the Cholesky
           !> factorization A = U**H*U or A = L*L**H computed by CPPTRF.
           !>

       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 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 COMPLEX array, dimension (N*(N+1)/2)
           !>          The triangular factor U or L from the Cholesky factorization
           !>          A = U**H*U or A = L*L**H, packed columnwise in a linear
           !>          array.  The j-th column of U or L is stored in the array AP
           !>          as follows:
           !>          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
           !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
           !>

           B

           !>          B is COMPLEX 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 107 of file cpptrs.f.

   subroutine dpptrs (character uplo, integer n, integer nrhs, double
       precision, dimension( * ) ap, double precision, dimension( ldb, * ) b,
       integer ldb, integer info)
       DPPTRS

       Purpose:


           !>
           !> DPPTRS solves a system of linear equations A*X = B with a symmetric
           !> positive definite matrix A in packed storage using the Cholesky
           !> factorization A = U**T*U or A = L*L**T computed by DPPTRF.
           !>

       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 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)
           !>          The triangular factor U or L from the Cholesky factorization
           !>          A = U**T*U or A = L*L**T, packed columnwise in a linear
           !>          array.  The j-th column of U or L is stored in the array AP
           !>          as follows:
           !>          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
           !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
           !>

           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.

       Definition at line 107 of file dpptrs.f.

   subroutine spptrs (character uplo, integer n, integer nrhs, real,
       dimension( * ) ap, real, dimension( ldb, * ) b, integer ldb, integer
       info)
       SPPTRS

       Purpose:


           !>
           !> SPPTRS solves a system of linear equations A*X = B with a symmetric
           !> positive definite matrix A in packed storage using the Cholesky
           !> factorization A = U**T*U or A = L*L**T computed by SPPTRF.
           !>

       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 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 REAL array, dimension (N*(N+1)/2)
           !>          The triangular factor U or L from the Cholesky factorization
           !>          A = U**T*U or A = L*L**T, packed columnwise in a linear
           !>          array.  The j-th column of U or L is stored in the array AP
           !>          as follows:
           !>          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
           !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
           !>

           B

           !>          B is REAL 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 107 of file spptrs.f.

   subroutine zpptrs (character uplo, integer n, integer nrhs, complex*16,
       dimension( * ) ap, complex*16, dimension( ldb, * ) b, integer ldb,
       integer info)
       ZPPTRS

       Purpose:


           !>
           !> ZPPTRS solves a system of linear equations A*X = B with a Hermitian
           !> positive definite matrix A in packed storage using the Cholesky
           !> factorization A = U**H * U or A = L * L**H computed by ZPPTRF.
           !>

       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 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 COMPLEX*16 array, dimension (N*(N+1)/2)
           !>          The triangular factor U or L from the Cholesky factorization
           !>          A = U**H * U or A = L * L**H, packed columnwise in a linear
           !>          array.  The j-th column of U or L is stored in the array AP
           !>          as follows:
           !>          if UPLO = 'U', AP(i + (j-1)*j/2) = U(i,j) for 1<=i<=j;
           !>          if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = L(i,j) for j<=i<=n.
           !>

           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 107 of file zpptrs.f.

Author
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LAPACK                          Version 3.12.0                        pptrs(3)