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Equations, Quadratic. --- Equations, Quadratic. --- Least squares. --- Least squares. --- Leveling. --- Leveling.
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Forms, Quadratic. --- Equations, Quadratic. --- Number theory.
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Mathematics --- Equations, Quadratic --- Mathématiques --- Tables --- Tables --- Tables
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Differentiable dynamical systems --- Equations, Quadratic --- Newton-Raphson method
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eebo-0121
Algebra --- Equations, Biquadratic --- Equations, Cubic --- Equations, Quadratic --- Mathematics
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Équations, Systèmes d'. --- Équations du second degré. --- Equations, Simultaneous. --- Equations, Quadratic --- Algebre --- Etude et enseignement --- Algebre --- Etude et enseignement
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This book is devoted to studying algorithms for the solution of a class of quadratic matrix and vector equations. These equations appear, in different forms, in several practical applications, especially in applied probability and control theory. The equations are first presented using a novel unifying approach; then, specific numerical methods are presented for the cases most relevant for applications, and new algorithms and theoretical results developed by the author are presented. The book focuses on “matrix multiplication-rich” iterations such as cyclic reduction and the structured doubling algorithm (SDA) and contains a variety of new research results which, as of today, are only available in articles or preprints.
Algorithms. --- Mathematics. --- Matrices. --- Vector algebra. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Equations, Quadratic. --- Algebra, Vector --- Algorism --- Quadratic equations --- Algebra. --- Algebras, Linear --- Vector analysis --- Arithmetic --- Foundations --- Mathematical analysis
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