Hilbert spaces and its applications / Michael Argyros, Ioannis K. Argyros, Samundra Regmi, editors.

Format:

Book

Author/Creator:

Michael Argyros, Editor.

Contributor:

Argyros, Michael, editor.

Argyros, Ioannis K., editor.

Regmi, Samundra, editor.

Series:

Mathematics research developments series.

Mathematics research developments series

Language:

English

Subjects (All):

Hilbert space.

Physical Description:

1 online resource (262 pages).

Place of Publication:

Nova Science Publishers Inc 2021

Summary:

"This book contains numerous selected contemporary topics, primarily in Hilbert space, although related extended material in Banach spaces and Riemannian manifolds is also included. A plethora of concrete problems from diverse disciplines are explored such as: applied mathematics; mathematical biology; chemistry; economics; physics; scientific computing, and engineering. The solutions of such equations can only be found in closed form in special cases; this forces researchers and practitioners to focus on the development of iterative methods to generate a sequence converging to the solutions, provided that some convergence criteria depending on the initial data are satisfied. Due to the exponential development of technology, new iterative methods should be found to improve existing computers and create faster and more efficient ones"-- Provided by publisher.

Contents:

HILBERT SPACESAND ITS APPLICATIONS HILBERT SPACESAND ITS APPLICATIONS Chapter 1A NEWTON-TRAUB-LIKE FIFTHCONVERGENCE ORDER METHOD INHILBERT SPACE Chapter 2CORRECTING AND EXTENDING THEAPPLICABILITY OF TWO FAST ALGORITHMSFOR SOLVING SYSTEMS Chapter 3 EXTENDED DIRECTIONAL NEWTON-TYPE METHODS Chapter 4 EXTENDED KANTOROVICH THEOREM FOR GENERALIZED EQUATIONS AND VARIATIONAL INEQUALITIES Chapter 5EXTENDED THE APPLICABILITYOF NEWTON'S METHOD FOR EQUATIONSWITH MONOTONE OPERATORMichael I. Argyros Chapter 6IMPROVED LOCAL CONVERGENCE FORA PROXIMAL GAUSS-NEWTON SOLVER Chapter 7IMPROVED ERROR ESTIMATESFOR SOME NEWTON-TYPE METHODS Chapter 8TWO NON CLASSICAL QUANTUM LOGICSOF PROJECTIONS IN HILBERT SPACEAND THEIR MEASURES Chapter 9EXTENDED FOURTH ORDER NEWTON-LIKEMETHOD UNDER !-CONTINUITYFOR SOLVING EQUATIONS Chapter 10 ON THE SEMI-LOCAL CONVERGENCE PF HALLEY'S METHOD: AN EXTENSION Chapter 11SEMI LOCAL CONVERGENCE CRITERIONOF NEWTON'S ALGORITHM FOR SINGULARSYSTEMS UNDER CONSTANT RANKDERIVATIVES: AN EXTENSION Chapter 12EXTENDING THEGAUSS-NEWTON-ALGORITHM UNDERl−AVERAGE CONTINUITY CONDITIONS Chapter 13ON THE SOLUTION OF GENERALIZEDEQUATIONS IN HILBERT SPACE Chapter 14NEWTON'S ALGORITHM ON RIEMANNIANMANIFOLDS: EXTENDED KANTOROVICH'STHEOREM Chapter 15EXTENDED GAUSS-NEWTON-KURCHATOVALGORITHM FOR LEAST SQUARESPROBLEMS Chapter 16EXTENDED GAUSS-NEWTON ALGORITHMFOR CONVEX COMPOSITE OPTIMIZATION Chapter 17EXTENDED LOCAL CONVERGENCE OFNEWTON'S ALGORITHM ON RIEMANNIANMANIFOLDS Chapter 18UNIQUENESS OF THE SOLUTION OFEQUATIONS IN HILBERT SPACE: I Chapter 19UNIQUENESS OF THE SOLUTION OFEQUATIONS IN HILBERT SPACE: II Chapter 20EXTENDED NEWTON'S ALGORITHMON RIEMANNIAN MANIFOLDSWITH VALUES IN A CONE Chapter 21EXTENDED GAUSS-NEWTON ALGORITHMON RIEMANNIAN MANIFOLDS UNDERL-AVERAGE LIPSCHITZ CONDITIONS Chapter 22NEW RESULTS ON BEREZIN NUMBERINEQUALITIES IN REPRODUCING KERNELHILBERT SPACE ABOUT THE EDITORS Blank Page Blank Page

Notes:

Includes index.

Description based on print version record.

ISBN:

1-5361-9124-8