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
General
Imprint: |
Crc Press
|
Country of origin: |
United Kingdom |
Release date: |
June 2020 |
First published: |
1998 |
Authors: |
Ioannis K. Argyros
|
Dimensions: |
234 x 156mm (L x W) |
Format: |
Paperback
|
Pages: |
586 |
ISBN-13: |
978-0-367-44787-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-367-44787-8 |
Barcode: |
9780367447878 |
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