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- W109067211 abstract "This dissertation addresses reliable and global solution of nonlinear system of equations with preconditioned interval Newton methods. The interval Newton method in conjunction with the generalized bisection algorithms is reviewed. Then, formal definitions of preconditioners are presented. All preconditioners are categorized into two types, C- and S-type. Some of the important properties for both types of preconditioners are studied. The author defines different optimal preconditioners. He analyzes them theoretically and forms practical algorithms to find them. Several hybrid schemes with low computational complexity are presented. To compare the performance of these different schemes, numerical results obtained by different preconditioners for various test problems are presented." @default.
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- W109067211 date "1990-01-01" @default.
- W109067211 modified "2023-09-26" @default.
- W109067211 title "Optimal preconditioners for the interval newton method" @default.
- W109067211 hasPublicationYear "1990" @default.
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