Nonlinear Systems and Matrix Analysis

Nonlinear system analysis is of interest to engineers, sociologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. In mathematics, a nonlinear system does not satisfy the superposition principle such as in a linear system. Therefore, the...

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description Nonlinear system analysis is of interest to engineers, sociologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. In mathematics, a nonlinear system does not satisfy the superposition principle such as in a linear system. Therefore, the theories underlining nonlinear analysis and their applications need to be developed on their own merit. The first section of this book is a collection of examples reporting recent advances in both theory and applications of nonlinear system analysis. The contents of each chapter will provide in-depth foresight to interested readers. As numerical linearization to a set of matrix equations is still the principal method used to solve a nonlinear system, matrix analysis is the topic of the second section of this book. The matrices have invaded practically all areas of mathematics, the experimental and social sciences, engineering, and technology. This volume updates purely mathematical theoretical aspects, and it also presents concrete examples of the wide range of applications of matrix theory in other disciplines.
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spelling doab-20.500.12854ir-1526152025-02-20T08:21:34Z Nonlinear Systems and Matrix Analysis Chen, Peter Y.P. Martinez-Luaces, Victor thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics Nonlinear system analysis is of interest to engineers, sociologists, physicists, mathematicians, and many other scientists since most systems are inherently nonlinear in nature. In mathematics, a nonlinear system does not satisfy the superposition principle such as in a linear system. Therefore, the theories underlining nonlinear analysis and their applications need to be developed on their own merit. The first section of this book is a collection of examples reporting recent advances in both theory and applications of nonlinear system analysis. The contents of each chapter will provide in-depth foresight to interested readers. As numerical linearization to a set of matrix equations is still the principal method used to solve a nonlinear system, matrix analysis is the topic of the second section of this book. The matrices have invaded practically all areas of mathematics, the experimental and social sciences, engineering, and technology. This volume updates purely mathematical theoretical aspects, and it also presents concrete examples of the wide range of applications of matrix theory in other disciplines. 2025-02-20T08:21:32Z 2025-02-20T08:21:32Z 2024 book ONIX_20250220_9781837694488_132 9781837694488 9781837694495 9781837694501 https://directory.doabooks.org/handle/20.500.12854/152615 eng image/jpeg n/a https://www.intechopen.com/books/1003416 https://intech-files.s3.amazonaws.com/a043Y000010Jz71QAC/0015320_Authors_Book%20%282024-12-05%2007%3A52%3A33%29.pdf IntechOpen IntechOpen 10.5772/intechopen.1001634 10.5772/intechopen.1001634 78a36484-2c0c-47cb-ad67-2b9f5cd4a8f6 9781837694488 9781837694495 9781837694501 IntechOpen 308 open access
spellingShingle thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
Nonlinear Systems and Matrix Analysis
title Nonlinear Systems and Matrix Analysis
title_full Nonlinear Systems and Matrix Analysis
title_fullStr Nonlinear Systems and Matrix Analysis
title_full_unstemmed Nonlinear Systems and Matrix Analysis
title_short Nonlinear Systems and Matrix Analysis
title_sort nonlinear systems and matrix analysis
topic thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
topic_facet thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
url ONIX_20250220_9781837694488_132