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Title Numerical infinities and infinitesimals in optimization / Yaroslav D. Sergeyev, Renato De Leone, editors
Published Cham : Springer, [2022]
©2022

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Description 1 online resource : illustrations (some color)
Series Emergence, complexity and computation ; volume 43
Emergence, complexity and computation ; 43.
Contents A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals -- Nonlinear Optimization: A Brief Overview -- The role of grossone in Nonlinear Programming and Exact Penalty Methods
Summary This book provides a friendly introduction to the paradigm and proposes a broad panorama of killing applications of the Infinity Computer in optimization: radically new numerical algorithms, great theoretical insights, efficient software implementations, and interesting practical case studies. This is the first book presenting to the readers interested in optimization the advantages of a recently introduced supercomputing paradigm that allows to numerically work with different infinities and infinitesimals on the Infinity Computer patented in several countries. One of the editors of the book is the creator of the Infinity Computer, and another editor was the first who has started to use it in optimization. Their results were awarded by numerous scientific prizes. This engaging book opens new horizons for researchers, engineers, professors, and students with interests in supercomputing paradigms, optimization, decision making, game theory, and foundations of mathematics and computer science
Notes Online resource; title from PDF title page (SpringerLink, viewed July 12, 2022)
Subject Mathematical optimization.
Optimización matemática
Mathematical optimization
Optimització matemàtica.
Genre/Form Llibres electrònics.
Form Electronic book
Author Sergeyev, Yaroslav D., 1963- editor.
De Leone, Renato, editor.
ISBN 9783030936426
3030936422
9788303093646
8303093649