Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal

Details:

 Title An algebraist's view on border bases Author(s) Achim Kehrein, Martin Kreuzer, Lorenzo Robbiano Type Book, Chapter in Book, Conference Proceeding Abstract This chapter is devoted to laying the algebraic foundations for border bases of ideals. Using an order ideal $\mathcal{O}$, we describe a zero-dimensional ideal {\em from the outside}. The first and higher borders of $\mathcal{O}$ can be used to measure the distance of a term from $\mathcal{O}$ and to define $\mathcal{O}$-border bases. We study their existence and uniqueness, their relation to Gröbner bases, and their characterization in terms of commuting matrices. Finally, we use border bases to solve a problem coming from statistics. Keywords border basis, order ideal, Gröbner basis, commuting matrices, design of experiments Length 33 ISBN 3-540-24326-7 File Language English Series Algorithms and Computation in Mathematics Volume 14 Chapter 4 Pages 160-202 Publisher Springer Verlag Address Heidelberg Year 2005 Editor A. Dickenstein and I. Emiris Edition 0 Translation No Refereed Yes Book Solving Polynomial Equations: Foundations, Algorithms, and Applications Conferencename CIMPA School 2003 (Buenos Aires/Argentina)
Webmaster