Name
Abstract | ||
|---|---|---|
We consider the problem of deciding whether or not a zero locus, X, of multivariate real analytic functions crosses a given r-norm ball in the real n-dimensional affine space. We perform a local study of the problem, and we provide both necessary and sufficient conditions to answer the question. Our conditions derive from the analysis of differential geometric properties of X at the center of the ball. An algorithm to evaluate r-norms distances is proposed. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.cam.2018.01.001 | Journal of Computational and Applied Mathematics |
Keywords | Field | DocType |
primary,secondary | Applied mathematics,Affine space,Mathematical analysis,Multivariate statistics,Analytic function,Norm (social),Mathematics | Journal |
Volume | ISSN | Citations |
336 | 0377-0427 | 1 |
PageRank | References | Authors |
0.36 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Torrente | 1 | 5 | 1.76 |
| Mauro C. Beltrametti | 2 | 18 | 4.06 |
| J. Rafael Sendra | 3 | 621 | 68.33 |