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Books on the topic 'Solving polynomial systems of equations'

Author: Grafiati

Published: 3 June 2025

Last updated: 13 July 2025

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1

1962-, Sturmfels Bernd, ed. Solving systems of polynomial equations. American Mathematical Society, 2002.

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2

Alexander, Morgan. Solving polynomial systems using continuation for engineering and scientific problems. Prentice-Hall, 1987.

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3

Sidi, Avram. Efficient implementation of minimal polynominal and reduced rank extrapolation methods. NASA Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1990.

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4

Bronstein, Manuel, Arjeh M. Cohen, Henri Cohen, et al., eds. Solving Polynomial Equations. Springer-Verlag, 2005. http://dx.doi.org/10.1007/b138957.

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5

Wen-tsün, Wu. Mathematics mechanization: Mechanical geometry theorem-proving, mechanical geometry problem-solving, and polynomial equations-solving. Kluwer Academic Publishers, 2000.

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6

Gruevski, Trpe. Algorithms for solving the polynomial algebraic equations of any power. Company Samojlik, 2000.

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7

Bernd, Fischer. Polynomial based iteration methods for symmetric linear systems. Society for Industrial and Applied Mathematics, 2011.

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8

Greenbaum, Anne. Iterative methods for solving linear systems. Society for Industrial and Applied Mathematics, 1997.

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9

Pielczyk, Andreas. Numerical methods for solving systems of quasidifferentiable equations. A. Hain, 1991.

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10

Hallett, Andrew Hughes. Hybrid algorithms with automatic switching for solving nonlinear equation systems. Dept. of Economics, Fraser of Allander Institute, University of Strathclyde, 1996.

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11

Deuflhard, P. Fast secant methods for the interative solution of large nonsymmetric linear systems. Research Institute for Advanced Computer Science, NASA Ames Research Center, 1990.

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12

Blue, J. L. B2DE: A program for solving systems of partial differential equations in two dimensions. U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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13

Blue, J. L. B2DE: A program for solving systems of partial differential equations in two dimensions. U.S. Dept. of Commerce, National Bureau of Standards, 1986.

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14

Cheng, Tracey Kim. A graph based system solving symetric and sparse linear systems of equations. Oxford Brookes University, 2002.

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15

Lustman, Levi. Software for the parallel solution of systems of ordinary differential equations. Naval Postgraduate School, 1991.

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16

Spedicato, Emilio. Computer Algorithms for Solving Linear Algebraic Equations: The State of the Art. Springer Berlin Heidelberg, 1991.

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17

Chu, Eleanor. Algorithms and software for solving finite element equations on serial and parallel architectures: Final report. Dept. of Computer Science, University of Tennessee, 1988.

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18

Tsao, Nai-kuan. On the equivalence of a class of inverse decomposition algorithms for solving systems of linear equations. Institute for Computational Mechanics in Propulsion, 1989.

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19

L, Barbour Randall, Carvlin Mark Joseph, Fiddy M. A, and Society of Photo-optical Instrumentation Engineers., eds. Computational, experimental, and numerical methods for solving ill-posed inverse imaging problems: Medical and nonmedical applications : 30-31 July 1997, San Diego, California. SPIE, 1997.

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20

Zhukova, Galina. Differential equations: examples and tasks. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072182.

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To master the skills of solving examples and problems of the course "Ordinary differential equations" proposed a cycle of workshops covering the topics: differential equations of first, second, n-th orders; systems of linear differential equations; integration of initial and boundary value problems; stability theory. Given the large number of examples and tasks for independent operation with answers. This sample tests with solutions and analysis. It is recommended that teachers, postgraduates and students of higher educational institutions studying differential equations.

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21

Voronin, Evgeniy, Aleksandr Chibunichev, and Yuriy Blohinov. Reliability of solving inverse problems of analytical photogrammetry. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/2010462.

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The monograph is devoted to computational aspects of photogrammetric reconstruction of narrow-angle bundles of projecting beams that existed during the survey. Methods of improving the conditionality of systems of linear equations, ensuring the convergence of iterative refinement of their roots, increasing the stability of calculations in finite precision machine arithmetic are considered. The main efforts are focused on solving the problem of establishing reliable measurement weights within the framework of the least squares method. The criteria for the reliability of the weights are determined. Algorithms have been developed for matching the initial values of the measurement weights, adjusting the weights during equalization, and identifying insignificant parameters of mathematical measurement models. A new method for evaluating the accuracy of the equalization results has been developed. For specialists engaged in the processing of remote sensing data of the Earth and mathematical processing of the results of heterogeneous measurements using weighted methods of statistical estimation of the parameters of functional dependencies.

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22

Glovackaya, Alevtina. Computational model. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1013723.

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The textbook covers the basics of classical numerical methods of computational mathematics used for solving linear and nonlinear equations and systems; interpolation and approximation of functions; numerical integration and differentiation; solutions of ordinary differential equations by methods of one-dimensional and multidimensional optimization. Meets the requirements of the Federal state educational standards of higher education of the latest generation. It is intended for students of higher educational institutions studying in the discipline "Numerical methods".

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23

Mora, Teo. Solving Polynomial Equation Systems. Cambridge University Press, 2003.

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24

Solving polynomial equation systems. Cambridge University Press, 2003.

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25

Mora, Teo. Solving Polynomial Equation Systems I. Cambridge University Press, 2002.

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26

Mora, Teo. Solving Polynomial Equation Systems III: Volume 3, Algebraic Solving. Cambridge University Press, 2015.

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27

Mora, Teo. Solving Polynomial Equation Systems Vol. 4: Buchberger's Theory and Beyond. Cambridge University Press, 2016.

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28

Mora, Teo. Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy. Cambridge University Press, 2009.

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29

Mora, Teo. Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy. Cambridge University Press, 2003.

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30

Mora, Teo. Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy. Cambridge University Press, 2003.

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31

Doran, B., Teo Mora, T. Y. Lam, M. Ismail, and G. C. Rota. Solving Polynomial Equation Systems I: The Kronecker-Duval Philosophy. Cambridge University Press, 2004.

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32

Mora, Teo. Solving Polynomial Equation Systems Vol. IV: Buchberger Theory and Beyond. Cambridge University Press, 2016.

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33

Mora, Teo. Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology. Cambridge University Press, 2005.

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34

Mora, Teo. Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology. Cambridge University Press, 2013.

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35

Mora, Teo. Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology. Cambridge University Press, 2014.

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36

Mora, Teo. Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond. Cambridge University Press, 2016.

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37

Mora, Teo. Solving Polynomial Equation Systems II: Macaulay's Paradigm and Gröbner Technology (Encyclopedia of Mathematics and its Applications). Cambridge University Press, 2005.

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38

Solving Polynomial Equations: Foundations, Algorithms, and Applications. Springer London, Limited, 2007.

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39

Solving Polynomial Equations Foundations Algorithms And Applications. Springer, 2010.

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40

Systems of Polynomial Equations: Solutions Methods. Cambridge University Press, 2004.

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41

Numerically Solving Polynomial Systems With Bertini. Society for Industrial & Applied Mathematics,, 2013.

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42

Bates, Daniel J., Jonathan D. Haunstein, and Charles W. Wampler. Numerically Solving Polynomial Systems With Bertini. Siam, 2013.

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43

(Editor), Alicia Dickenstein, and Ioannis Z. Emiris (Editor), eds. Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics). Springer, 2005.

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44

Solving polynomial systems using continuation for engineering and scientific problems. Society for Industrial and Applied Mathematics, 2009.

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45

Dynamical Systems Method for Solving Operator Equations. Elsevier, 2007. http://dx.doi.org/10.1016/s0076-5392(07)x8081-0.

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46

Methods for solving systems of nonlinear equations. 2nd ed. Society for Industrial and Applied Mathematics, 1998.

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47

Methods for Solving Systems of Nonlinear Equations. 1998.

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48

Dynamical systems method for solving operator equations. Elsevier, 2007.

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49

Broniek, Przemysaw. Computational Complexity of Solving Equation Systems. Springer International Publishing AG, 2015.

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50

Broniek, Przemysław. Computational Complexity of Solving Equation Systems. Springer London, Limited, 2015.

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