\(r\)-norm bounds and metric properties for zero loci of real analytic functions

DOI10.1016/j.cam.2018.01.001zbMath1383.15023OpenAlexW2783996803MaRDI QIDQ1696455

Maria-Laura Torrente, Juan Rafael Sendra, Mauro C. Beltrametti

Publication date: 14 February 2018

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2018.01.001

zbMATH Keywords

algorithm\(r\)-norm distancecrossing area conditionsmatrix norms equivalencezero locus of real analytic functions

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Computational aspects in algebraic geometry (14Q99)

Related Items (3)

Hough transform for detecting space curves in digital 3D models ⋮ Hough transform based recognition of space curves ⋮ Piecewise polynomial approximation of spatial curvilinear profiles using the Hough transform

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison theorems for supremum norms
• Estimating the matrix \(p\)-norm
• Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries
• Perturbation of polynomials and applications to the Hough transform
• Hough Transform of Special Classes of Curves
• Almost vanishing polynomials and an application to the Hough transform
• An Euclidean norm based criterion to assess robots’ 2D path-following performance
• Least-Change Secant Update Methods for Underdetermined Systems

This page was built for publication: \(r\)-norm bounds and metric properties for zero loci of real analytic functions