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RedHat 9 (Linux i386) - man page for ctptrs (redhat section l)

CTPTRS(l)					)					CTPTRS(l)

NAME
       CTPTRS - solve a triangular system of the form  A * X = B, A**T * X = B, or A**H * X = B,

SYNOPSIS
       SUBROUTINE CTPTRS( UPLO, TRANS, DIAG, N, NRHS, AP, B, LDB, INFO )

	   CHARACTER	  DIAG, TRANS, UPLO

	   INTEGER	  INFO, LDB, N, NRHS

	   COMPLEX	  AP( * ), B( LDB, * )

PURPOSE
       CTPTRS  solves  a  triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
       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 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(i +
	       (j-1)*j/2) = A(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2)	=  A(i,j)
	       for j<=i<=n.

       B       (input/output) COMPLEX 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.

LAPACK version 3.0			   15 June 2000 				CTPTRS(l)


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