Principal Submatrices, Restricted Invertibility, and a Quantitative Gauss–Lucas Theorem

DOI10.1093/imrn/rny163zbMath1487.15030arXiv1609.04187OpenAlexW3047436712MaRDI QIDQ5015582

Mohan Ravichandran

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04187

zbMATH Keywords

decompositioncomplex polynomialsrestricted invertibilityGauss-Lucas theoremprincipal submatrices

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) 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) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Applications of generalized inverses (15A10)

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