Polynomial Operator Equations in Abstract Spaces and Applications
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"This book provides a valuable service to those mathematicians working in the area of polynomial operator equations...The theoretical material addressed has a spectrum of applications...applications [that are] quite relevant and important...Anyone doing research in this area should have a copy of this monograph."
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Patrick J. Van Fleet, Mathematical and Information Sciences, Huntsville, Texas
"A comprehensive presentation of this rapidly growing field...benefiting not only those working in the field but also those interested in, and in need of, information about specific results or techniques...Clear...Logical...Elegant...The author has achieved the optimum at this point."
- Dr. George Anastassiou, University of Memphis, Tennessee
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. Les mer
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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
Detaljer
- Forlag
- CRC Press
- Innbinding
- Paperback
- Språk
- Engelsk
- Sider
- 586
- ISBN
- 9780367447878
- Utgivelsesår
- 2020
- Format
- 23 x 16 cm
Anmeldelser
«
"This book provides a valuable service to those mathematicians working in the area of polynomial operator equations...The theoretical material addressed has a spectrum of applications...applications [that are] quite relevant and important...Anyone doing research in this area should have a copy of this monograph."
»
Patrick J. Van Fleet, Mathematical and Information Sciences, Huntsville, Texas
"A comprehensive presentation of this rapidly growing field...benefiting not only those working in the field but also those interested in, and in need of, information about specific results or techniques...Clear...Logical...Elegant...The author has achieved the optimum at this point."
- Dr. George Anastassiou, University of Memphis, Tennessee