Approximate Commutative Algebra

ISBN-13: 9783211993132 / Angielski / Miękka / 2009 / 227 str.

Lorenzo Robbiano

Opis

In this volume nine contributions from established researchers describe various approaches to tackle a variety of problems arising in Approximate Commutative Algebra.

Spis treści

M. Kreuzer, H. Poulisse, L. Robbiano: From Oil Fields to Hilbert Schemes.- D. J. Bates, J. D. Hauenstein, C. Peterson, A. J. Sommese: Numerical Decomposition of the Rank-Deficiency Set of a Matrix of Multivariate Polynomials.- W. Wu, G. Reid, O. Golubitsky: Towards Geometric Completion of Differential Systems by Points.- R. Scott, G. Reid, W. Wu, L. Zhi: Geometric Involutive Bases and Applications to Approximate Commutative Algebra.- Z. Zeng: Regularization and Matrix Computation in Numerical Polynomial Algebra.- B. Shekhtman: Ideal Interpolation: Translations to and from Algebraic Geometry.- E. Riccomagno, H. P. Wynn: An Introduction to Regression and Errors in Variables from an Algebraic Viewpoint - H. J. Stetter: ApCoA = Embedding Commutative Algebra into Analysis.- E. Kaltofen: Exact Certification in Global Polynomial Optimization Via Rationalizing Sums-of-Squares.