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E-raamat: Optimized Iterative Methods with Applications in Diverse Disciplines

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Optimized Iterative Methods with Applications in Diverse DisciplinesSuurem pilt
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"Numerous problems from diverse disciplines can be converted using mathematical modeling to an equation defined on suitable abstract spaces usually involving the n-dimensional Euclidean space, Hilbert space, Banach Space or even more general spaces. The solution of these equations is sought in closed form. But this is possible only in special cases. That is why researchers and practitioners use iterative algorithms, which seem to be the only alternative. Due to the explosion of technology, faster and faster computers become available. This development simply means that new optimized algorithms should be developed to take advantage of these improvements. That is exactly where we come in with our book containing such algorithms with applications in problems from numerical analysis and economics but also from other areas such as biology, chemistry, physics, parallel computing, and engineering. The book is an outgrowth of scientific research conducted over two years. This book can be used by senior undergraduate students, graduate students, researchers, and practitioners in the aforementioned areas in the classroom or as reference material. Readers should know the fundamentals of numerical-functional analysis, economic theory, and Newtonian physics. Some knowledge of computers and contemporary programming shall be very helpful to readers"--
Preface; Author Contact Information; Oligopoly; Extended Recurrence
Relations for Newton-Type Method; A Kantorovich-type Extension for the
Inexact Newton Method; Extended Gauss-Newton Method for Convex Composite
Optimization; Extended Two Step Fourth Order Method; Extended Semi-local
Convergence for a Super-Halley-Type Method for Fourth Order; Semi-local
Convergence of a Deformed Euler-Halley Method; Deformed Halley Method for
Solving Equations; Extended Semilocal Convergence for Chebyshev-Like Methods;
Extended Local Convergence for a Chebyshev-Halley-Chun Method; Extended Local
Convergence for a Chebyshev-Halley-Chun II Method; Extended Multipoint
Jarratt Method; Local Convergence for a Chebyshev-Like Method Free of
Bilinear Operator; Extended Local Convergence for a Jarratt-Type Method;
Local Convergence for a Fourth Order Method with Banach Space Valued
Operators; Local Convergence Analysis of a Fourth Order Method II with Banach
Space Valued Operators; Local Convergence Analysis of Fourth Order Methods
III with Banach Space Valued Operators; Local Convergence for a Two-Step
Method Free of Derivative; Two-Step Method with Five Parameters; On a
Jarratt-Type Three-Step Method; Extended Semi-local Convergence of Halleys
Method; Extended Newton-type Methods on Riemannian Manifolds for Determining
a Singularity of a Vector Field; Extended Smales -Theory for Inexact Newton
Method and the Gamma Condition; Extended Semi-local Convergence for a
Deformed Newtons Method of Third Order and the Gamma Condition; Extended
Chebyshev-type Method; Extended Convergence for a Class of High Order
Methods; Newton-type Method Under Uniform Convergence Conditions; On a Two
Step Third Order Solver; Extended Convergence of Halleys Method under
Kantorovichs Majorants; Solution of Polynomial Equations Using Newtons
Method; Glossary of Symbols.
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Püsilink: https://www.kriso.ee/db/97815361950882e.html
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