Nonlinear Systems of Equations J. E. Dennis Jr. Department of Computational...  Home/Search
Context
Related
| ohiostate.edu/hpcs/...TR940102.ps.Z Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: ohiostate.edu/hpcs/WWW/HTML/p... (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: This paper generalizes to the nonlinear case a standard way to solve general sparse systems of linear equations. In particular, Duff [1977] has suggested that row and column interchanges be applied to permute the coefficient matrix of a linear system into block lower triangular form. The linear system then can be solved by using the associated block Gauss-Seidel or forward block substitution scheme. (Update)
Active bibliography (related documents): More All
1.5: Triangular Decomposition Methods for Solving Reducible.. - Dennis, Martinez, Zhang (1994) (Correct)
0.3: Practical quasi-Newton methods for solving nonlinear systems - Martínez (2000) (Correct)
0.3: Algorithms for Solving Nonlinear Systems of Equations - Martínez (1994) (Correct)
Similar documents based on text:
0.0: Unknown - (Correct)
BibTeX entry: (Update)
@misc{ of-triangular,
author = "Nonlinear Systems Of",
title = "Triangular Decomposition Methods for Solving Reducible",
url = "citeseer.ist.psu.edu/766234.html" }
Citations (may not include all citations):650 Numerical Methods for Unconstrained Optimization and Nonline.. (context) - Jr, Schnabel - 1983
482 Iterative Solution of Nonlinear Equations in Several Variabl.. (context) - Ortega, Rheinboldt - 1970
405 Depth-first search and linear graph algorithms (context) - Tarjan - 1972
69 Estimation of sparse Jacobian matrices and graph coloring pr.. (context) - Coleman, Mor'e - 1983
62 The Symmetry multiprocessor system (context) - Lovett, Thakkar - 1988
44 A class of methods for solving nonlinear simultaneous equati.. (context) - Broyden - 1965
36 Software for estimating sparse Jacobian matrices (context) - Coleman, Garbow et al. - 1984
35 the estimation of sparse Jacobian matrices (context) - Curtis, Powell et al. - 1974
22 Testing unconstrained optimization software (context) - Mor'e, Garbow et al. - 1981
20 Numerical solution of nonlinear equations (context) - Mor'e, Cosnard - 1979
6 a approach to techniques for the analysis of the structure o.. (context) - Steward - 1962
5 On permutations to block triangular form (context) - Duff - 1977
4 Oxford Scientific Publications (context) - Duff, Erisman et al. - 1989
4 A note on the decomposition of systems of sparse non-linear .. (context) - Erickson - 1976
2 Sparse matrices and graph theory (context) - Harary - 1971
Documents on the same site (http://www.cse.ohio-state.edu/hpcs/WWW/HTML/publications/papers/): More
An Effective and Practical Performance Prediction Model for - Parallel Computing On (Correct)
LightFlood: an Efficient Flooding Scheme for File Search .. - Peer-To-Peer Systems.. (Correct)
Proceedings of the 21st International Conference on.. - Dynamic Load Sharing (Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC