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Undergraduate Research at Cameron University on Iterative Procedures in Banach and Other Spaces

Buch | Hardcover
324 Seiten
2019
Nova Science Publishers Inc (Verlag)
978-1-5361-6058-1 (ISBN)
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This book is intended for undergraduate and graduate researchers and practitioners in computational sciences and as a reference book for an advanced computational methods course. We have included new results for iterative procedures in abstract spaces general enough for handling inverse problems in various situations related to real-life problems through mathematical modeling. The book contains a plethora of updated bibliography and provides comparison between various investigations made in recent years in the field of computational mathematics in the wide sense. Iterative processes are the tools used to generate sequences approximating solutions of equations describing the real-life problems stated above and others originating from Biosciences, Engineering, Mathematical Economics, Mathematical Biology, Mathematical Chemistry, Mathematical Physics Medicine, Mathematical Programming, and other disciplines. The book also provides recent advancements on the study of iterative procedures and can be used as a source from which one can obtain the proper method to use in order to solve a problem. The book requires a fundamental background in Mathematical Statistics, Linear Algebra and Numerical Analysis. It may be used as a self-study reference or as a supplementary text for an advanced course in Biosciences, Engineering and Computational Sciences.

Ioannis K. Argyros was born in 1956 in Athens, Greece. He received a B.Sc. from the University of Athens, Greece; and a M.Sc. And Ph.D. from the University of Georgia, Athens, Georgia, USA, under the supervision of Dr. Douglas N. Clark. Dr. Argyros is currently a full Professor of Mathematics at Cameron University, Lawton, OK, USA. His research interests include: Applied mathematics, Operator theory, Computational mathematics and iterative methods especially on Banach spaces. He has published more than a thousand peer reviewed papers, thirty two books and seventeen chapters in books in his area of research, computational mathematics. He is an active reviewer of a plethora of papers and books, and has received several national and international awards. He has supervised two PhD students, several MSc. and undergraduate students, and has been the external evaluator for many PhD theses, tenure and promotion applicants. Mr. Samundra Regmi is a senior student at Cameron University pursuing double degree, one in Mathematical Sciences and another in Computer Science. Along with studies, he had been working as a Senior Calculus tutor, Mathematics peer mentor, and Research Associate at Cameron University. He had been working in the field of Numerical Analysis for more than 2 years, and before he was working in the field of Cryptography and Optimization related problem by Las Alamos National Lab. He had been serving as a judge, moderator at Joint-Mathematics Meeting, the worlds largest mathematics meeting, from last two years.

PrefaceMajorizing Sequences for Iterative Methods with ApplicationsOn a Fast Three Step Method for Solving Equations under Weak ConditionsBall Convergence of Two Derivative Free Iterative Methods for Solving Equations under Weak ConditionsQuasi-Newtonian Iterative ProcessesExtended Ball Convergence for a Chebyshev-Halley Family of Methods with One ParameterExtending the Applicability of Newtons Method under the Second Fr'echet-Derivative: Case IExtending the Applicability of Newtons Method Under the k-th (k≥2)Fr'echet Derivaitive: Case IIConvergence under w-Conditions and the k-Fr'echet Derivatives: Case IIIConvergence under w-Conditions on the Second Derivative: Case IVConvergence under Lipschitz Conditions: Case VConvergence under w-Lipschitz Conditions: Case VIConvergence of an Eight Order Four Step MethodA Fast Three Step MethodConvergence of a Method Using Derivatives and Divided DifferencesConvergence of a 2k MethodConvergence of an Eighth Order MethodConvergence for a Method Containing a Sum of Linear OperatorsLocal Convergence of a Two-Step Chebyshev-Type MethodLocal Convergence of a Three Parameter Sixth Order MethodLocal Convergence for a Steffensen-Type Method of Order EightConvergence of a Sixth Order MethodRoots of Polynomials and their ApplicationsHybrid High Convergence Order Iterative MethodsHybrid Newton-Like Methods with High Order of ConvergenceGlossary of Symbols.

Erscheinungsdatum
Verlagsort New York
Sprache englisch
Gewicht 564 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 1-5361-6058-X / 153616058X
ISBN-13 978-1-5361-6058-1 / 9781536160581
Zustand Neuware
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