LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
Loading...
Searching...
No Matches

◆ cptts2()

subroutine cptts2 ( integer iuplo,
integer n,
integer nrhs,
real, dimension( * ) d,
complex, dimension( * ) e,
complex, dimension( ldb, * ) b,
integer ldb )

CPTTS2 solves a tridiagonal system of the form AX=B using the L D LH factorization computed by spttrf.

Download CPTTS2 + dependencies [TGZ] [ZIP] [TXT]

Purpose:
!>
!> CPTTS2 solves a tridiagonal system of the form
!>    A * X = B
!> using the factorization A = U**H*D*U or A = L*D*L**H computed by CPTTRF.
!> D is a diagonal matrix specified in the vector D, U (or L) is a unit
!> bidiagonal matrix whose superdiagonal (subdiagonal) is specified in
!> the vector E, and X and B are N by NRHS matrices.
!> 
Parameters
[in]IUPLO
!>          IUPLO is INTEGER
!>          Specifies the form of the factorization and whether the
!>          vector E is the superdiagonal of the upper bidiagonal factor
!>          U or the subdiagonal of the lower bidiagonal factor L.
!>          = 1:  A = U**H *D*U, E is the superdiagonal of U
!>          = 0:  A = L*D*L**H, E is the subdiagonal of L
!> 
[in]N
!>          N is INTEGER
!>          The order of the tridiagonal matrix A.  N >= 0.
!> 
[in]NRHS
!>          NRHS is INTEGER
!>          The number of right hand sides, i.e., the number of columns
!>          of the matrix B.  NRHS >= 0.
!> 
[in]D
!>          D is REAL array, dimension (N)
!>          The n diagonal elements of the diagonal matrix D from the
!>          factorization A = U**H *D*U or A = L*D*L**H.
!> 
[in]E
!>          E is COMPLEX array, dimension (N-1)
!>          If IUPLO = 1, the (n-1) superdiagonal elements of the unit
!>          bidiagonal factor U from the factorization A = U**H*D*U.
!>          If IUPLO = 0, the (n-1) subdiagonal elements of the unit
!>          bidiagonal factor L from the factorization A = L*D*L**H.
!> 
[in,out]B
!>          B is COMPLEX array, dimension (LDB,NRHS)
!>          On entry, the right hand side vectors B for the system of
!>          linear equations.
!>          On exit, the solution vectors, X.
!> 
[in]LDB
!>          LDB is INTEGER
!>          The leading dimension of the array B.  LDB >= max(1,N).
!> 
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.