Projection methods for solving nonlinear systems of equations

Conference · Sun Apr 01 00:00:00 EST 1990

DOI:https://doi.org/10.1007/978-94-011-3428-6_25· OSTI ID:6860084

Brown, P N ^[1]; Saad, Y ^[2]

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1. Lawrence Livermore National Lab., CA (USA)
2. National Aeronautics and Space Administration, Moffett Field, CA (USA). Ames Research Center

This paper describes several nonlinear projection methods based on Krylov subspaces and analyzes their convergence. The prototype of these methods is a technique that generalizes the conjugate direction method by minimizing the norm of the function F over some subspace. The emphasis of this paper is on nonlinear least squares problems which can also be handled by this general approach.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOD; DOE/DP; DOE/ER; National Aeronautics and Space Administration (NASA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6860084
• Report Number(s): UCRL-JC-103972; CONF-9005229-1; ON: DE90012990
• Resource Relation: Conference: NATO advanced research workshop on defects, singularities, and patterns in nematic liquid crystals, Orsay (France), 28 May - 1 Jun 1990
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
PARTIAL DIFFERENTIAL EQUATIONS
NUMERICAL SOLUTION
CONVERGENCE
LEAST SQUARE FIT
NEWTON METHOD
NONLINEAR PROBLEMS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
MAXIMUM-LIKELIHOOD FIT
990200* - Mathematics & Computers