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Top Forums UNIX for Beginners Questions & Answers Awk: Performing "for" loop within text block with two files Post 303029169 by jvoot on Tuesday 22nd of January 2019 04:48:02 PM
Old 01-22-2019
Scrutinizer! That did it (or at least seems to have done it)! Your solution was so much more simple than that which I was attempting. Thank you so very much!
 

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SPTRFS(l)								 )								 SPTRFS(l)

NAME
SPTRFS - improve the computed solution to a system of linear equations when the coefficient matrix is symmetric positive definite and tridiagonal, and provides error bounds and backward error estimates for the solution SYNOPSIS
SUBROUTINE SPTRFS( N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, INFO ) INTEGER INFO, LDB, LDX, N, NRHS REAL B( LDB, * ), BERR( * ), D( * ), DF( * ), E( * ), EF( * ), FERR( * ), WORK( * ), X( LDX, * ) PURPOSE
SPTRFS improves the computed solution to a system of linear equations when the coefficient matrix is symmetric positive definite and tridi- agonal, and provides error bounds and backward error estimates for the solution. ARGUMENTS
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. D (input) REAL array, dimension (N) The n diagonal elements of the tridiagonal matrix A. E (input) REAL array, dimension (N-1) The (n-1) subdiagonal elements of the tridiagonal matrix A. DF (input) REAL array, dimension (N) The n diagonal elements of the diagonal matrix D from the factorization computed by SPTTRF. EF (input) REAL array, dimension (N-1) The (n-1) subdiagonal elements of the unit bidiagonal factor L from the factorization computed by SPTTRF. B (input) REAL array, dimension (LDB,NRHS) The right hand side matrix B. LDB (input) INTEGER The leading dimension of the array B. LDB >= max(1,N). X (input/output) REAL array, dimension (LDX,NRHS) On entry, the solution matrix X, as computed by SPTTRS. On exit, the improved solution matrix X. LDX (input) INTEGER The leading dimension of the array X. LDX >= max(1,N). FERR (output) REAL array, dimension (NRHS) The forward error bound for each solution vector X(j) (the j-th column of the solution matrix X). If XTRUE is the true solution corresponding to X(j), FERR(j) is an estimated upper bound for the magnitude of the largest element in (X(j) - XTRUE) divided by the magnitude of the largest element in X(j). BERR (output) REAL array, dimension (NRHS) The componentwise relative backward error of each solution vector X(j) (i.e., the smallest relative change in any element of A or B that makes X(j) an exact solution). WORK (workspace) REAL array, dimension (2*N) INFO (output) INTEGER = 0: successful exit < 0: if INFO = -i, the i-th argument had an illegal value PARAMETERS
ITMAX is the maximum number of steps of iterative refinement. LAPACK version 3.0 15 June 2000 SPTRFS(l)
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