Inflation of poorly conditioned zeros of systems of analytic functions

DOI10.1007/s40598-021-00177-9OpenAlexW3172361193MaRDI QIDQ823834

Anton Leykin, Michael A. Burr

Publication date: 16 December 2021

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05810

zbMATH Keywords

certificationisolation of clusterssingular zerossystems of analytic equations

Mathematics Subject Classification ID

Algorithms in computer science (68Wxx) Nonlinear algebraic or transcendental equations (65Hxx) Error analysis and interval analysis (65Gxx)

Related Items

Isolating clusters of zeros of analytic systems using arbitrary-degree inflation ⋮ Two-step Newton's method for deflation-one singular zeros of analytic systems ⋮ Locating the closest singularity in a polynomial homotopy

Cites Work

• The \(K\)-moment problem for compact semi-algebraic sets
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• The complexity of subdivision for diameter-distance tests
• Computing sum of squares decompositions with rational coefficients
• Newton's method with deflation for isolated singularities of polynomial systems
• Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems
• Algorithm 921
• Introduction to Interval Analysis
• On simple double zeros and badly conditioned zeros of analytic functions of 𝑛 variables
• Semidefinite Optimization and Convex Algebraic Geometry
• Plantinga-Vegter Algorithm takes Average Polynomial Time
• On isolation of simple multiple zeros and clusters of zeros of polynomial systems

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