Numerically Solving Polynomial Systems With Bertini

Author : Daniel J. Bates
Publisher : SIAM
ISBN 13 : 1611972698
Total Pages : 372 pages
Book Rating : 4.96/5 ( download)

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Download or read book Numerically Solving Polynomial Systems with Bertini written by Daniel J. Bates and published by SIAM. This book was released on 2013-11-08 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.

Author : Andrew John Sommese
Publisher : World Scientific
ISBN 13 : 9812561846
Total Pages : 426 pages
Book Rating : 4.48/5 ( download)

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Download or read book The Numerical Solution of Systems of Polynomials Arising in Engineering and Science written by Andrew John Sommese and published by World Scientific. This book was released on 2005 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

Author : Alexander Morgan
Publisher : SIAM
ISBN 13 : 0898719038
Total Pages : 331 pages
Book Rating : 4.31/5 ( download)

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Download or read book Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems written by Alexander Morgan and published by SIAM. This book was released on 2009-01-01 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the numerical technique of polynomial continuation, which is used to compute solutions to systems of polynomial equations. Originally published in 1987, it remains a useful starting point for the reader interested in learning how to solve practical problems without advanced mathematics. Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems is easy to understand, requiring only a knowledge of undergraduate-level calculus and simple computer programming. The book is also practical; it includes descriptions of various industrial-strength engineering applications and offers Fortran code for polynomial solvers on an associated Web page. It provides a resource for high-school and undergraduate mathematics projects. Audience: accessible to readers with limited mathematical backgrounds. It is appropriate for undergraduate mechanical engineering courses in which robotics and mechanisms applications are studied.

Author : Hoon Hong
Publisher : Springer
ISBN 13 : 3662441993
Total Pages : 762 pages
Book Rating : 4.92/5 ( download)

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Download or read book Mathematical Software -- ICMS 2014 written by Hoon Hong and published by Springer. This book was released on 2014-08-01 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.

Author : Anna Maria Bigatti
Publisher : Springer Nature
ISBN 13 : 3030522008
Total Pages : 491 pages
Book Rating : 4.01/5 ( download)

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Download or read book Mathematical Software – ICMS 2020 written by Anna Maria Bigatti and published by Springer Nature. This book was released on 2020-07-07 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 7th International Conference on Mathematical Software, ICMS 2020, held in Braunschweig, Germany, in July 2020. The 48 papers included in this volume were carefully reviewed and selected from 58 submissions. The program of the 2020 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a environment of mathematical software research, development and use.

Author : James H. Davenport
Publisher : Springer
ISBN 13 : 3319964186
Total Pages : 508 pages
Book Rating : 4.88/5 ( download)

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Download or read book Mathematical Software – ICMS 2018 written by James H. Davenport and published by Springer. This book was released on 2018-07-17 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a subeld of mathematical software research, development and use.

Author : Johannes Blömer
Publisher : Springer
ISBN 13 : 3319724533
Total Pages : 462 pages
Book Rating : 4.39/5 ( download)

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Download or read book Mathematical Aspects of Computer and Information Sciences written by Johannes Blömer and published by Springer. This book was released on 2017-12-20 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Mathematical Aspects of Computer and Information Sciences, MACIS 2017, held in Vienna, Austria, in November 2017. The 28 revised papers and 8 short papers presented were carefully reviewed and selected from 67 submissions. The papers are organized in the following topical sections: foundation of algorithms in mathematics, engineering and scientific computation; combinatorics and codes in computer science; data modeling and analysis; and mathematical aspects of information security and cryptography.

Author : Jacques Fleuriot
Publisher : Springer
ISBN 13 : 3319999575
Total Pages : 272 pages
Book Rating : 4.79/5 ( download)

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Download or read book Artificial Intelligence and Symbolic Computation written by Jacques Fleuriot and published by Springer. This book was released on 2018-08-27 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 13th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2018, held in Suzhou, China, in September 2018. The 13 full papers presented together with 5 short and 2 invited papers were carefully reviewed and selected from 31 submissions. The AISC conference is an important forum when it comes to ensuring that ideas, theoretical insights, methods and results from traditional AI can be discussed and showcased, while fostering new links with other areas of AI such as probabilistic reasoning and deep learning.

Author : Vladimir P. Gerdt
Publisher : Springer
ISBN 13 : 3319663208
Total Pages : 419 pages
Book Rating : 4.03/5 ( download)

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Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2017-09-07 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.

Author : Pierre Larochelle
Publisher : Springer Nature
ISBN 13 : 3030439291
Total Pages : 321 pages
Book Rating : 4.93/5 ( download)

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Download or read book Proceedings of the 2020 USCToMM Symposium on Mechanical Systems and Robotics written by Pierre Larochelle and published by Springer Nature. This book was released on 2020-04-20 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers the latest fundamental research contributions, innovations, and applications in the field of design and analysis of complex robotic mechanical systems, machines, and mechanisms, as presented by leading international researchers at the 1st USCToMM Symposium on Mechanical Systems and Robotics (USCToMM MSR 2020), held in Rapid City, South Dakota, USA on May 14-16, 2020. It covers highly diverse topics, including soft, wearable and origami robotic systems; applications to walking, flying, climbing, underground, swimming and space systems; human rehabilitation and performance augmentation; design and analysis of mechanisms and machines; human-robot collaborative systems; service robotics; mechanical systems and robotics education; and the commercialization of mechanical systems and robotics. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting and impactful research results that will inspire novel research directions and foster multidisciplinary research collaborations among researchers from around the globe.