ztbtrs.f(3) [debian man page]

ztbtrs.f(3)							      LAPACK							       ztbtrs.f(3)

NAME

       ztbtrs.f -

SYNOPSIS

   Functions/Subroutines
       subroutine ztbtrs (UPLO, TRANS, DIAG, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
	   ZTBTRS

Function/Subroutine Documentation
   subroutine ztbtrs (characterUPLO, characterTRANS, characterDIAG, integerN, integerKD, integerNRHS, complex*16, dimension( ldab, * )AB,
       integerLDAB, complex*16, dimension( ldb, * )B, integerLDB, integerINFO)
       ZTBTRS

       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.

       Parameters:
	   UPLO

		     UPLO is CHARACTER*1
		     = 'U':  A is upper triangular;
		     = 'L':  A is lower triangular.

	   TRANS

		     TRANS is 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

		     DIAG is CHARACTER*1
		     = 'N':  A is non-unit triangular;
		     = 'U':  A is unit triangular.

	   N

		     N is INTEGER
		     The order of the matrix A.  N >= 0.

	   KD

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

	   NRHS

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

	   AB

		     AB is 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

		     LDAB is INTEGER
		     The leading dimension of the array AB.  LDAB >= KD+1.

	   B

		     B is COMPLEX*16 array, dimension (LDB,NRHS)
		     On entry, the right hand side matrix B.
		     On exit, if INFO = 0, the solution matrix X.

	   LDB

		     LDB is INTEGER
		     The leading dimension of the array B.  LDB >= max(1,N).

	   INFO

		     INFO is 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.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 146 of file ztbtrs.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

Version 3.4.1							  Sun May 26 2013						       ztbtrs.f(3)

Check Out this Related Man Page

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  col-
	       umn  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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ztbtrs.f(3) [debian man page]

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