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Approximate Commutative Algebra

Approximate Commutative Algebra
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Field name Details
Dewey Class 516.35
Title Approximate Commutative Algebra ([Ebook]) / edited by Lorenzo Robbiano, John Abbott.
Author Robbiano, Lorenzo
Added Personal Name Abbott, John
Other name(s) SpringerLink (Online service)
Publication Vienna : Springer Vienna , 2010.
Physical Details XIV, 227 pages : 15 illus., 4 illus. in color. : online resource.
Series Texts and Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria 0943-853X
ISBN 9783211993149
Summary Note Approximate Commutative Algebra is an emerging field of research which endeavours to bridge the gap between traditional exact Computational Commutative Algebra and approximate numerical computation. The last 50 years have seen enormous progress in the realm of exact Computational Commutative Algebra, and given the importance of polynomials in scientific modelling, it is very natural to want to extend these ideas to handle approximate, empirical data deriving from physical measurements of phenomena in the real world. In this volume nine contributions from established researchers describe various approaches to tackling a variety of problems arising in Approximate Commutative Algebra.:
Contents note From oil fields to Hilbert schemes -- Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials -- Towards Geometric Completion of Differential Systems by Points -- Geometric Involutive Bases and Applications to Approximate Commutative Algebra -- Regularization and Matrix Computation in Numerical Polynomial Algebra -- Ideal interpolation: Translations to and from Algebraic Geometry -- An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint -- ApCoA = Embedding Commutative Algebra into Analysis -- Exact Certification in Global Polynomial Optimization Via Rationalizing Sums-Of-Squares.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-3-211-99314-9
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