Computational Theory of Iterative Methods
Ioannis Argyros
ΡΠ΅ΠΏ 2007. Β· Studies in Computational Mathematics 15. ΠΊΡΠΈΠ³Π° Β· Elsevier
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Π ΠΎΠ²ΠΎΡ Π΅-ΠΊΡΠΈΠ·ΠΈ
The book is designed for researchers, students and practitioners interested in using fast and efficient iterative methods to approximate solutions of nonlinear equations. The following four major problems are addressed. Problem 1: Show that the iterates are well defined. Problem 2: concerns the convergence of the sequences generated by a process and the question of whether the limit points are, in fact solutions of the equation. Problem 3: concerns the economy of the entire operations. Problem 4: concerns with how to best choose a method, algorithm or software program to solve a specific type of problem and its description of when a given algorithm succeeds or fails. The book contains applications in several areas of applied sciences including mathematical programming and mathematical economics. There is also a huge number of exercises complementing the theory.- Latest convergence results for the iterative methods - Iterative methods with the least computational cost- Iterative methods with the weakest convergence conditions- Open problems on iterative methods
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Π Π°ΡΡΠΎΡΡ
Professor Ioannis Argyros (Department of Mathematical Sciences Cameron University, Lawton, OK, USA) has published 329 indexed documents and 25 books. Argyros is interested in theories of inequalities, operators, computational mathematics and iterative methods, and banach spaces.
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ΠΠ° Π±ΠΈΡΡΠ΅ ΡΠΈΡΠ°Π»ΠΈ Π½Π° ΡΡΠ΅ΡΠ°ΡΠΈΠΌΠ° ΠΊΠΎΡΠ΅ ΠΊΠΎΡΠΈΡΡΠ΅ Π΅-ΠΌΠ°ΡΡΠΈΠ»ΠΎ, ΠΊΠ°ΠΎ ΡΡΠΎ ΡΡ Kobo Π΅-ΡΠΈΡΠ°ΡΠΈ, ΡΡΠ΅Π±Π° Π΄Π° ΠΏΡΠ΅ΡΠ·ΠΌΠ΅ΡΠ΅ ΡΠ°ΡΠ» ΠΈ ΠΏΡΠ΅Π½Π΅ΡΠ΅ΡΠ΅ Π³Π° Π½Π° ΡΡΠ΅ΡΠ°Ρ. ΠΡΠ°ΡΠΈΡΠ΅ Π΄Π΅ΡΠ°ΡΠ½Π° ΡΠΏΡΡΡΡΠ²Π° ΠΈΠ· ΡΠ΅Π½ΡΡΠ° Π·Π° ΠΏΠΎΠΌΠΎΡ Π΄Π° Π±ΠΈΡΡΠ΅ ΠΏΡΠ΅Π½Π΅Π»ΠΈ ΡΠ°ΡΠ»ΠΎΠ²Π΅ Ρ ΠΏΠΎΠ΄ΡΠΆΠ°Π½Π΅ Π΅-ΡΠΈΡΠ°ΡΠ΅.
