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# Manual Reference Pages  -  DPTTRSV (l)

### NAME

DPTTRSV - solve one of the triangular systems L**T* X = B, or L * X = B,

Synopsis
Purpose
Arguments

### SYNOPSIS

 SUBROUTINE DPTTRSV( TRANS, N, NRHS, D, E, B, LDB, INFO ) CHARACTER TRANS INTEGER INFO, LDB, N, NRHS DOUBLE PRECISION D( * ) DOUBLE PRECISION B( LDB, * ), E( * )

### PURPOSE

DPTTRSV solves one of the triangular systems L**T* X = B, or L * X = B, where L is the Cholesky factor of a Hermitian positive
definite tridiagonal matrix A such that
A = L*D*L**H (computed by DPTTRF).

### ARGUMENTS

 TRANS (input) CHARACTER Specifies the form of the system of equations: = ’N’: L * X = B (No transpose) = ’T’: L**T * X = B (Transpose) 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 factorization computed by DPTTRF. E (input) COMPLEX array, dimension (N-1) The (n-1) off-diagonal elements of the unit bidiagonal factor U or L from the factorization computed by DPTTRF (see UPLO). B (input/output) COMPLEX 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
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