SRC/zgtts2.f(3) | Library Functions Manual | SRC/zgtts2.f(3) |
NAME
SRC/zgtts2.f
SYNOPSIS
Functions/Subroutines
subroutine zgtts2 (itrans, n, nrhs, dl, d, du, du2, ipiv,
b, ldb)
ZGTTS2 solves a system of linear equations with a tridiagonal matrix
using the LU factorization computed by sgttrf.
Function/Subroutine Documentation
subroutine zgtts2 (integer itrans, integer n, integer nrhs, complex*16, dimension( * ) dl, complex*16, dimension( * ) d, complex*16, dimension( * ) du, complex*16, dimension( * ) du2, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb)
ZGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.
Purpose:
ZGTTS2 solves one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B, with a tridiagonal matrix A using the LU factorization computed by ZGTTRF.
Parameters
ITRANS
ITRANS is INTEGER Specifies the form of the system of equations. = 0: A * X = B (No transpose) = 1: A**T * X = B (Transpose) = 2: A**H * X = B (Conjugate transpose)
N
N is INTEGER The order of the matrix A.
NRHS
NRHS is INTEGER The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
DL
DL is COMPLEX*16 array, dimension (N-1) The (n-1) multipliers that define the matrix L from the LU factorization of A.
D
D is COMPLEX*16 array, dimension (N) The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
DU
DU is COMPLEX*16 array, dimension (N-1) The (n-1) elements of the first super-diagonal of U.
DU2
DU2 is COMPLEX*16 array, dimension (N-2) The (n-2) elements of the second super-diagonal of U.
IPIV
IPIV is INTEGER array, dimension (N) The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i). IPIV(i) will always be either i or i+1; IPIV(i) = i indicates a row interchange was not required.
B
B is COMPLEX*16 array, dimension (LDB,NRHS) On entry, the matrix of right hand side vectors B. On exit, B is overwritten by the solution vectors X.
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.
Definition at line 127 of file zgtts2.f.
Author
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