## An Algorithm for Approximately Inverting Large Matrices with Dominant Diagonal |

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315 largest 430 Residuals Less Air Unlv Library ALGORITHM FOR APPROXIMATELY analyst Appendix A show approximate inverse Arlington Boolean common index computation enumerates computer storage conditions of Theorem Cornell Unlv cyclic nets D. C. I Dr deeper threshold Depl Dept of Math DIAGONAL by Martin directed graphs directed path dominant diagonal equation denoted GEORGE WASHINGTON UNIVERSITY Graph-theoretic hence Induat and Engr input coefficients inverse element inverse matrix iterative procedure less than 0.05 LOGISTICS RESEARCH PROJECT Markov Chains MATRICES WITH DOMINANT method Minkowski-Leontief matrix Naval Research Branch Neumann series non-negative non-zero elements number of significant obtained Office of Technical original matrix output coefficients Project NR 347 Rosenblatt Significant Path-Products similar matrices sparse Stanford Table II shows Tech Library Technical Services typical element U.S. DEPARTMENT UCLA I Prof UNCLASSIFIED Univ I Prof UNIVERSITY LOGISTICS RESEARCH Unlv I Dr Various Critical Values vector WASHINGTON UNIVERSITY LOGISTICS York