cdttrsv(3) [debian man page]

CDTTRSV(l)						   LAPACK routine (version 2.0) 						CDTTRSV(l)

NAME

       CDTTRSV - solve one of the systems of equations	L * X = B, L**T * X = B, or L**H * X = B,

SYNOPSIS

       SUBROUTINE CDTTRSV( UPLO, TRANS, N, NRHS, DL, D, DU, B, LDB, INFO )

	   CHARACTER	   UPLO, TRANS

	   INTEGER	   INFO, LDB, N, NRHS

	   COMPLEX	   B( LDB, * ), D( * ), DL( * ), DU( * )

PURPOSE

       CDTTRSV solves one of the systems of equations
	  L * X = B,  L**T * X = B,  or  L**H * X = B,
	  U * X = B,  U**T * X = B,  or  U**H * X = B,
       with factors of the tridiagonal matrix A from the LU factorization computed by CDTTRF.

ARGUMENTS

       UPLO    (input) CHARACTER*1
	       Specifies whether to solve with L or U.

       TRANS   (input) CHARACTER
	       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)

       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.

       DL      (input) COMPLEX array, dimension (N-1)
	       The (n-1) multipliers that define the matrix L from the LU factorization of A.

       D       (input) COMPLEX array, dimension (N)
	       The n diagonal elements of the upper triangular matrix U from the LU factorization of A.

       DU      (input) COMPLEX array, dimension (N-1)
	       The (n-1) elements of the first superdiagonal of U.

       B       (input/output) COMPLEX array, dimension (LDB,NRHS)
	       On entry, the right hand side matrix B.	On exit, B is overwritten by 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

modified LAPACK routine 					    12 May 1997 							CDTTRSV(l)

ZGTTRS(l)								 )								 ZGTTRS(l)

NAME

       ZGTTRS - solve one of the systems of equations A * X = B, A**T * X = B, or A**H * X = B,

SYNOPSIS

       SUBROUTINE ZGTTRS( TRANS, N, NRHS, DL, D, DU, DU2, IPIV, B, LDB, INFO )

	   CHARACTER	  TRANS

	   INTEGER	  INFO, LDB, N, NRHS

	   INTEGER	  IPIV( * )

	   COMPLEX*16	  B( LDB, * ), D( * ), DL( * ), DU( * ), DU2( * )

PURPOSE

       ZGTTRS 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 factoriza-
       tion computed by ZGTTRF.

ARGUMENTS

       TRANS   (input) CHARACTER
	       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)

       N       (input) INTEGER
	       The order of the matrix A.

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

       DL      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) multipliers that define the matrix L from the LU factorization of A.

       D       (input) COMPLEX*16 array, dimension (N)
	       The n diagonal elements of the upper triangular matrix U from the LU factorization of A.

       DU      (input) COMPLEX*16 array, dimension (N-1)
	       The (n-1) elements of the first super-diagonal of U.

       DU2     (input) COMPLEX*16 array, dimension (N-2)
	       The (n-2) elements of the second super-diagonal of U.

       IPIV    (input) 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       (input/output) 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     (input) INTEGER
	       The leading dimension of the array B.  LDB >= max(1,N).

       INFO    (output) INTEGER
	       = 0:  successful exit
	       < 0:  if INFO = -k, the k-th argument had an illegal value

LAPACK version 3.0						   15 June 2000 							 ZGTTRS(l)