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SPTTRS(l)) SPTTRS(l)NAMESPTTRS - solve a tridiagonal system of the form A * X = B using the L*D*L' factorization of A computed by SPTTRFSYNOPSISSUBROUTINE SPTTRS( N, NRHS, D, E, B, LDB, INFO ) INTEGER INFO, LDB, N, NRHS REAL B( LDB, * ), D( * ), E( * )PURPOSESPTTRS 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 bidi- agonal matrix whose subdiagonal is specified in the vector E, and X and B are N by NRHS matrices.ARGUMENTSN (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 bidi- agonal factor U from the factorization A = U'*D*U. B (input/output) REAL array, dimension (LDB,NRHS) On entry, the right hand side vectors B for the system of linear equations. On exit, 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 =, the k-th argument had an illegal value-kLAPACK version 3.015 June 2000 SPTTRS(l)

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