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Numerical Infinities and Infinitesimals in Optimization

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Table of Contents

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    Book Overview
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    Chapter 1 A New Computational Paradigm Using Grossone-Based Numerical Infinities and Infinitesimals
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    Chapter 2 Nonlinear Optimization: A Brief Overview
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    Chapter 3 The Role of grossone in Nonlinear Programming and Exact Penalty Methods
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    Chapter 4 Krylov-Subspace Methods for Quadratic Hypersurfaces: A Grossone–based Perspective
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    Chapter 5 Multi-objective Lexicographic Mixed-Integer Linear Programming: An Infinity Computer Approach
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    Chapter 6 The Use of Infinities and Infinitesimals for Sparse Classification Problems
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    Chapter 7 The Grossone-Based Diagonal Bundle Method
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    Chapter 8 On the Use of Grossone Methodology for Handling Priorities in Multi-objective Evolutionary Optimization
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    Chapter 9 Exact Numerical Differentiation on the Infinity Computer and Applications in Global Optimization
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    Chapter 10 Comparing Linear and Spherical Separation Using Grossone-Based Numerical Infinities in Classification Problems
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    Chapter 11 Computing Optimal Decision Strategies Using the Infinity Computer: The Case of Non-Archimedean Zero-Sum Games
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    Chapter 12 Modeling Infinite Games on Finite Graphs Using Numerical Infinities
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    Chapter 13 Adopting the Infinity Computing in Simulink for Scientific Computing
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    Chapter 14 Addressing Ill-Conditioning in Global Optimization Using a Software Implementation of the Infinity Computer
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Title
Numerical Infinities and Infinitesimals in Optimization
Published by
Springer International Publishing, May 2022
DOI 10.1007/978-3-030-93642-6
ISBNs
978-3-03-093641-9, 978-3-03-093642-6
Editors

Sergeyev, Yaroslav D., De Leone, Renato

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