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

ZTBTRS(l)					)					ZTBTRS(l)

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

SYNOPSIS
       SUBROUTINE ZTBTRS( UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO )

	   CHARACTER	  DIAG, TRANS, UPLO

	   INTEGER	  INFO, KD, LDAB, LDB, N, NRHS

	   COMPLEX*16	  AB( LDAB, * ), B( LDB, * )

PURPOSE
       ZTBTRS  solves  a  triangular system of the form A * X = B, A**T * X = B, or A**H * X = B,
       where A is a triangular band matrix of order N, 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.

       KD      (input) INTEGER
	       The  number of superdiagonals or subdiagonals of the triangular band matrix A.  KD
	       >= 0.

       NRHS    (input) INTEGER
	       The number of right hand sides, i.e., the number of columns of the matrix B.  NRHS
	       >= 0.

       AB      (input) COMPLEX*16 array, dimension (LDAB,N)
	       The  upper or lower triangular band matrix A, stored in the first kd+1 rows of AB.
	       The j-th column of A is stored in the j-th column of the array AB as  follows:  if
	       UPLO  = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j; if UPLO = 'L', AB(1+i-
	       j,j)    = A(i,j) for j<=i<=min(n,j+kd).	If DIAG = 'U', the diagonal elements of A
	       are not referenced and are assumed to be 1.

       LDAB    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= KD+1.

       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.

LAPACK version 3.0			   15 June 2000 				ZTBTRS(l)


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