Try solver System of linear algebraic equations in Shell Bash Post: 302709307

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zgbtrs

ZGBTRS(l)								 )								 ZGBTRS(l)

NAME

       ZGBTRS  -  solve a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general band matrix A using the LU factoriza-
       tion computed by ZGBTRF

SYNOPSIS

       SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )

	   CHARACTER	  TRANS

	   INTEGER	  INFO, KL, KU, LDAB, LDB, N, NRHS

	   INTEGER	  IPIV( * )

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

PURPOSE

       ZGBTRS solves a system of linear equations A * X = B, A**T * X = B, or A**H * X = B with a general band matrix A using the LU factorization
       computed by ZGBTRF.

ARGUMENTS

       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)

       N       (input) INTEGER
	       The order of the matrix A.  N >= 0.

       KL      (input) INTEGER
	       The number of subdiagonals within the band of A.  KL >= 0.

       KU      (input) INTEGER
	       The number of superdiagonals within the band of A.  KU >= 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)
	       Details	of  the LU factorization of the band matrix A, as computed by ZGBTRF.  U is stored as an upper triangular band matrix with
	       KL+KU superdiagonals in rows 1 to KL+KU+1, and the multipliers used  during  the  factorization	are  stored  in  rows  KL+KU+2	to
	       2*KL+KU+1.

       LDAB    (input) INTEGER
	       The leading dimension of the array AB.  LDAB >= 2*KL+KU+1.

       IPIV    (input) INTEGER array, dimension (N)
	       The pivot indices; for 1 <= i <= N, row i of the matrix was interchanged with row IPIV(i).

       B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS)
	       On entry, the right hand side matrix B.	On exit, 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

LAPACK version 3.0						   15 June 2000 							 ZGBTRS(l)