sptts2 man page on Scientific

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SPTTS2(1)		 LAPACK routine (version 3.2)		     SPTTS2(1)

NAME
       SPTTS2  -  solves a tridiagonal system of the form  A * X = B using the
       L*D*L' factorization of A computed by SPTTRF

SYNOPSIS
       SUBROUTINE SPTTS2( N, NRHS, D, E, B, LDB )

	   INTEGER	  LDB, N, NRHS

	   REAL		  B( LDB, * ), D( * ), E( * )

PURPOSE
       SPTTS2 solves a tridiagonal system of the form
	  A * X = B using the L*D*L' factorization of A computed by SPTTRF.  D
       is  a diagonal matrix specified in the vector D, L is a unit bidiagonal
       matrix whose subdiagonal is specified in the vector E, and X and B  are
       N by NRHS matrices.

ARGUMENTS
       N       (input) INTEGER
	       The order of the tridiagonal 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.

       D       (input) REAL array, dimension (N)
	       The n diagonal elements of  the	diagonal  matrix  D  from  the
	       L*D*L' factorization of A.

       E       (input) REAL array, dimension (N-1)
	       The  (n-1) subdiagonal elements of the unit bidiagonal factor L
	       from the L*D*L' factorization of A.  E can also be regarded  as
	       the superdiagonal of the unit bidiagonal factor U from the fac‐
	       torization A = U'*D*U.

       B       (input/output) REAL array, dimension (LDB,NRHS)
	       On entry, the right hand side vectors B for the system of  lin‐
	       ear equations.  On exit, the solution vectors, X.

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

 LAPACK routine (version 3.2)	 November 2008			     SPTTS2(1)
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