matrix free large-scale nonlinear system solvers in applied science with an introduction to d-mapping Dey, S. K. creator author. text xx S.l.] CHAPMAN & HALL CRC 2024 First edition. monographic eng

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1 online resource Perturbed functional iterations (PFI) is a largescale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are illconditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents Nonlinear systems Perturbation (Mathematics) Large scale systems Dynamics MATHEMATICS / Applied MATHEMATICS / Differential Equations QA402.3 9781040014936 1040014933 9781003325925 1003325920 9781040014950 104001495X https://www.taylorfrancis.com/books/9781003325925 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf https://www.taylorfrancis.com/books/9781003325925 http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf OCoLC-P 240521 20251030122236.0 9781003325925 eng