Extension of Hoffman's Error Bound to Polynomial Systems

By Xiaomei Luo, Zhi-Quan Tom Luo. 1994

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New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors (2015, methodology): “On the other hand, it is proved in [35,36] by using the cerebrated Łojasiewicz’s inequality [33] that (1.”
From error bounds to the complexity of first-order descent methods for convex functions (2015, background): “E-mail: jerome.bolte@tse-fr.eu, Effort partially sponsored by the Air Force Office of Scientific Research, Air Force Material Command, USAF, under grant number FA9550-14-1-0056, the FMJH Program Gaspard Monge in optimization and operations research and ANR GAGA †Toulouse School of Economics, Univers”
Sufficient Conditions for Error Bounds and Applications (2004, unknown): “These conditions are in general expressed in terms of subdifferentials or axiomatic subdifferentials (see [16], [2], [3], [19]–[23], [32], [12], [29] and references therein).”
Handbook of Semidefinite Programming (2000, background): “Our error bound for convex quadratic systems is a slight improvement of the error bound given by Wang and Pang [874], which in turn generalizes an error bound of Luo and Luo [544].”