Yakov Alber, Irina Ryazantseva

Nonlinear Ill-posed Problems of Monotone Type (eBook, PDF)

• Format: PDF

Produktbeschreibung

Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Produktdetails

• Verlag: Springer Netherland
• Erscheinungstermin: 23. Februar 2006
• Englisch
• ISBN-13: 9781402043963
• Artikelnr.: 37341507

Autorenporträt

Yakov Alber, Technion-Israel Institute of Technology, Haifa, Israel / Irina Ryazantseva, Nizhnii Novgorod State Technical University, Nizhnii Novgorod, Russia

Inhaltsangabe

INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS.- REGULARIZATION OF OPERATOR EQUATIONS.- PARAMETERIZATION OF REGULARIZATION METHODS.- REGULARIZATION OF VARIATIONAL INEQUALITIES.- APPLICATIONS OF THE REGULARIZATION METHODS.- SPECIAL TOPICS ON REGULARIZATION METHODS.

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INTO THE THEORY OF MONOTONE AND ACCRETIVE OPERATORS.- REGULARIZATION OF OPERATOR EQUATIONS.- PARAMETERIZATION OF REGULARIZATION METHODS.- REGULARIZATION OF VARIATIONAL INEQUALITIES.- APPLICATIONS OF THE REGULARIZATION METHODS.- SPECIAL TOPICS ON REGULARIZATION METHODS.

Rezensionen

From the reviews of the first edition:

"This monograph offers a systematic and thorough exposition of the theory and applications of non-linear equations and variational inequalities with monotone and accretive operators. ... The authors have collected, classified, and properly arranged a great deal of results ... . The present book will certainly help the reader to obtain an introduction to basic ideas and results of the contemporary theory of solution methods for nonlinear monotone problems ... . The volume can be used as a reference for both experts and novices ... ." (Mikhail Yu. Kokurin, Zentralblatt MATH, Vol. 1086, 2006)