Practical Quasi-Newton algorithms for singular nonlinear systems

Practical Quasi-Newton algorithms for singular nonlinear systems: "

Abstract Quasi-Newton methods for solving singular systems of nonlinear equations are considered in this paper. Singular roots cause
a number of problems in implementation of iterative methods and in general deteriorate the rate of convergence. We propose
two modifications of QN methods based on Newton’s and Shamanski’s method for singular problems. The proposed algorithms belong
to the class of two-step iterations. Influence of iterative rule for matrix updates and the choice of parameters that keep
iterative sequence within convergence region are empirically analyzed and some conclusions are obtained.

• Content Type Journal Article
• Category Original Paper
• DOI 10.1007/s11075-010-9367-z
• Authors
  
  
  • Sandra Buhmiler, University of Novi Sad Department of Mathematics, Faculty of Engineering 21000 Novi Sad Serbia
  • Nataša Krejić, University of Novi Sad Department of Mathematics and Informatics, Faculty of Science Trg Dositeja Obradovića 4 21000 Novi Sad Serbia
  • Zorana Lužanin, University of Novi Sad Department of Mathematics and Informatics, Faculty of Science Trg Dositeja Obradovića 4 21000 Novi Sad Serbia
  
  

• Journal Numerical Algorithms
• Online ISSN 1572-9265
• Print ISSN 1017-1398

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