Projection methods for solving nonlinear systems of equations

Conference · Sat Mar 31 23:00:00 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., CA (USA)
• Sponsoring Organization: DOD; DOE/DP; DOE/ER; NASA
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6860084
• Report Number(s): UCRL-JC-103972; CONF-9005229--1; ON: DE90012990
• Country of Publication: United States
• Language: English

Related Subjects

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