A Functional Equation which Characterizes Polynomial Operators with Applications to Uniqueness - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Functional Equation which Characterizes Polynomial Operators with Applications to Uniqueness write by M. Zuhair Nashed. This book was released on 1971. A Functional Equation which Characterizes Polynomial Operators with Applications to Uniqueness available in PDF, EPUB and Kindle. A functional equation related to Taylor's theorem in normed spaces is considered, and its most general solutions are characterized. As a byproduct, some simple local and global uniqueness results for solutions of polynomial operator equations are obtained and illustrated by problems for generalized inverses. (Author).
A Functional Equation which Characterized Polynominal Operators with Applications to Uniqueness
A Functional Equation which Characterized Polynominal Operators with Applications to Uniqueness - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Functional Equation which Characterized Polynominal Operators with Applications to Uniqueness write by M. Z. Nashed. This book was released on 1972. A Functional Equation which Characterized Polynominal Operators with Applications to Uniqueness available in PDF, EPUB and Kindle.
Functional Equations in Several Variables
Functional Equations in Several Variables - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Functional Equations in Several Variables write by J. Aczél. This book was released on 1989. Functional Equations in Several Variables available in PDF, EPUB and Kindle. This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and the natural, behavioural and social sciences. The authors have chosen to emphasize applications, though not at the expense of theory, so they have kept the prerequisites to a minimum.
Generalized Inverses and Applications
Generalized Inverses and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Inverses and Applications write by M. Zuhair Nashed. This book was released on 2014-05-10. Generalized Inverses and Applications available in PDF, EPUB and Kindle. Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, with particular reference to algebraic, topological, extremal, and proximinal properties. The reader is then introduced to the algebraic aspects of the generalized inverse of a rectangular matrix; the Fredholm pseudoinverse; and perturbations and approximations for generalized inverses and linear operator equations. Subsequent chapters deal with various applications of generalized inverses, including programming, games, and networks, as well as estimation and aggregation in econometrics. This monograph will be of interest to mathematicians and students of mathematics.
Polynomial Operator Equations in Abstract Spaces and Applications
Polynomial Operator Equations in Abstract Spaces and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Operator Equations in Abstract Spaces and Applications write by Ioannis K. Argyros. This book was released on 2020-10-07. Polynomial Operator Equations in Abstract Spaces and Applications available in PDF, EPUB and Kindle. 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
