Titlebook: Approximate Commutative Algebra; Lorenzo Robbiano,John Abbott Book 2010 Springer-Verlag Vienna 2010 algebra.algebraic geometry.approximate

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書目名稱Approximate Commutative Algebra影響因子(影響力)學科排名




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書目名稱Approximate Commutative Algebra網絡公開度學科排名




書目名稱Approximate Commutative Algebra被引頻次




書目名稱Approximate Commutative Algebra被引頻次學科排名




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書目名稱Approximate Commutative Algebra年度引用學科排名




書目名稱Approximate Commutative Algebra讀者反饋




書目名稱Approximate Commutative Algebra讀者反饋學科排名

Precursor

Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials,.:= ?.. The sets ., consisting of .?. where the rank of the matrix function .(.) is at most ., arise in a variety of contexts: for example, in the description of both the singular locus of an algebraic set and its fine structure; in the description of the degeneracy locus of maps between algebraic s

Fortify

Towards Geometric Completion of Differential Systems by Points,iciently approximated by Numerical Homotopy Continuation methods, as the intersection of random linear varieties with the components. We outline challenges and progress for extending such ideas to systems of differential polynomials, where prolongation (differentiation) of the equations is required

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Seizure

Regularization and Matrix Computation in Numerical Polynomial Algebra,ng the challenges we must face when solving polynomial algebra problems with floating-point arithmetic, the most frequently encountered difficulties include the regularization of ill-posedness and the handling of large matrices. We develop regularization principles for reformulating the ill-posed al

Debrief

JOG

ApCoA = Embedding Commutative Algebra into Analysis, analytical concepts and techniques. I look at the particular case of Gr?bner bases: an important tool in exact commutative algebra which needs non-trivial adaptation (into border bases) when moving into the world of approximate commutative algebra.

迫擊炮

Exact Certification in Global Polynomial Optimization Via Rationalizing Sums-Of-Squares,lic-numeric algorithms compute minimal deformations of those coefficients that yield non-trivial results, .. polynomial factorizations or sparse interpolants. The question is: are the computed approximations the globally nearest to the input?.We present a new alternative to numerical optimization, n

下船

Mine: Ausblendung von Mikropolitik,problems. Using a modelling problem for the optimization of oil production as a motivation, we present several recent developments involving border bases of polynomial ideals. After recalling the foundations of border basis theory in the exact case, we present a number of approximate techniques such

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