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NAME
ZTPTRS - solve a triangular system of the form A * X = B,
A**T * X = B, or A**H * X = B,
SYNOPSIS
SUBROUTINE ZTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB,
INFO )
CHARACTER DIAG, TRANS, UPLO
INTEGER INFO, LDB, N, NRHS
COMPLEX*16 AP( * ), B( LDB, * )
PURPOSE
ZTPTRS solves a triangular system of the form
where A is a triangular matrix of order N stored in packed
format, and B is an N-by-NRHS matrix. A check is made to
verify that A is nonsingular.
ARGUMENTS
UPLO (input) CHARACTER*1
= 'U': A is upper triangular;
= 'L': A is lower triangular.
TRANS (input) CHARACTER*1
Specifies the form of the system of equations:
= 'N': A * X = B (No transpose)
= 'T': A**T * X = B (Transpose)
= 'C': A**H * X = B (Conjugate transpose)
DIAG (input) CHARACTER*1
= 'N': A is non-unit triangular;
= 'U': A is unit triangular.
N (input) INTEGER
The order of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of right hand sides, i.e., the number of
columns of the matrix B. NRHS >= 0.
AP (input) COMPLEX*16 array, dimension (N*(N+1)/2)
The upper or lower triangular 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((j-1)*j/2 + i) = A(i,j) for 1<=i<=j; if UPLO =
'L', AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for
j<=i<=n.
B (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
On entry, the right hand side matrix B. On exit, if
INFO = 0, the solution matrix X.
LDB (input) INTEGER
The leading dimension of the array B. LDB >=
max(1,N).
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an illegal
value
> 0: if INFO = i, the i-th diagonal element of A is
zero, indicating that the matrix is singular and the
solutions X have not been computed.