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accuracy algorithm amount of fill-in array RNR band matrices chapter class E(n,c CNR and RNR coefficient matrix column-ordered list condition number converge copy COUNT decomposition Denmark direct solution elements in row elimination process extra FORTRAN FORTRAN code free space garbage collections Gaussian elimination Householder's method I.S. Duff IGMS Institute for Numerical integer array iterative refinement large drop tolerance least squares problems linear algebraic linear least squares linear systems linked lists LINPACK locations lower triangular matrix Lyngby major step Math matrices of class N1END needed non-zero elements NREND number of elements number of non-zero Numerical Analysis ordered lists performed PIVOT(j pivotal element pivotal strategy pointers positive definite reordering RNR(i row and column row numbers row-ordered list sparse linear sparse matrix code sparse matrix technique sparsity pattern structure subroutines systems of linear Table test matrices tion UNIVAC X X X xxx X xxx xxx xxx Zlatev