Polynomial Operator Equations in Abstract Spaces and Applications

Name: Polynomial Operator Equations in Abstract Spaces and Applications
Brand: Taylor & Francis Ltd
SKU: 9780367447878
Price: 93.8 EUR
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Автор: Ioannis K. Argyros

Език:

Корици: С меки корици

Издател: Taylor & Francis Ltd

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Polynomial operators are a natural generalization of linear operators. Equations in such operators a...

Информация за книгата

Автор

Ioannis K. Argyros

Език

Английски език

Корици

Книга - С меки корици

Издадена

2020

страници

586

EAN

9780367447878

ISBN

0367447878

Enbook ID

32875720

Издател

Taylor & Francis Ltd

Теглоt

1080

Размери

156 x 234

Пълно описание

Polynomial operators are a natural generalization of linear operators. Equations in such operators are the linear space analog of ordinary polynomials in one or several variables over the fields of real or complex numbers. Such equations encompass a broad spectrum of applied problems including all linear equations. Often the polynomial nature of many nonlinear problems goes unrecognized by researchers. This is more likely due to the fact that polynomial operators - unlike polynomials in a single variable - have received little attention. Consequently, this comprehensive presentation is needed, benefiting those working in the field as well as those seeking information about specific results or techniques.
Polynomial Operator Equations in Abstract Spaces and Applications - an outgrowth of fifteen years of the author''s research work - presents new and traditional results about polynomial equations as well as analyzes current iterative methods for their numerical solution in various general space settings.
Topics include:

Special cases of nonlinear operator equations

Solution of polynomial operator equations of positive integer degree n

Results on global existence theorems not related with contractions

Galois theory

Polynomial integral and polynomial differential equations appearing in radiative transfer, heat transfer, neutron transport, electromechanical networks, elasticity, and other areas

Results on the various Chandrasekhar equations

Weierstrass theorem

Matrix representations

Lagrange and Hermite interpolation

Bounds of polynomial equations in Banach space, Banach algebra, and Hilbert space
The materials discussed can be used for the following studies

Advanced numerical analysis

Numerical functional analysis

Functional analysis

Approximation theory

Integral and differential equation

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Polynomial Operator Equations in Abstract Spaces and Applications

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