Original title: Hybrid Methods for Nonlinear Least Squares Problems
Authors: Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan
Document type: Research reports
Year: 2019
Language: eng
Series: Technical Report, volume: V-1246
Abstract: This contribution contains a description and analysis of effective methods for minimization of the nonlinear least squares function F(x) = (1=2)fT (x)f(x), where x ∈ Rn and f ∈ Rm, together with extensive computational tests and comparisons of the introduced methods. All hybrid methods are described in detail and their global convergence is proved in a unified way. Some proofs concerning trust region methods, which are difficult to find in the literature, are also added. In particular, the report contains an analysis of a new simple hybrid method with Jacobian corrections (Section 8) and an investigation of the simple hybrid method for sparse least squares problems proposed previously in [33] (Section 14).
Keywords: hybrid methods; nonlinear least squares; numerical experiments; numerical optimization; partially separable problems; sparse problems; trust region methods
Rights: This work is protected under the Copyright Act No. 121/2000 Coll.

Institution: Institute of Computer Science AS ČR (web)
Original record: http://hdl.handle.net/11104/0296201

Permalink: http://www.nusl.cz/ntk/nusl-395920


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Research > Institutes ASCR > Institute of Computer Science
Reports > Research reports
 Record created 2019-06-11, last modified 2020-03-27


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