Polynomial Operator Equations in Abstract Spaces and Applicat... - 9780367447878

CRC Press

This book presents new and important old results about polynomial equations as well as an analysis of general new and efficient iterative methods for their numerical solution in various space settings. It is intended for senior undergraduate and graduate students. > \nPolynomial 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. \nPolynomiale