Łojasiewicz gradient inequalities for polynomial functions and some applications

DOI10.1016/j.jmaa.2021.125950OpenAlexW4200622226MaRDI QIDQ2069793

Thi Thao Nguyen, Ha Huy Vui

Publication date: 21 January 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125950

zbMATH Keywords

gradient flowdescent methodŁojasiewicz gradient inequalityconvex polynomialKouchnirenko non-degenerate at infinityMikhailov-Gindikin non-degenerate at infinity

Mathematics Subject Classification ID

Theory of singularities and catastrophe theory (58Kxx) Local theory in algebraic geometry (14Bxx) Numerical methods for mathematical programming, optimization and variational techniques (65Kxx)

Related Items (1)

Counting eigenvalues of Schrödinger operators using the landscape function

Cites Work

• Polyedres de Newton et nombres de Milnor
• Milnor fibration at infinity
• Semialgebraic Sard theorem for generalized critical values.
• Oscillatory integral decay, sublevel set growth, and the Newton polyhedron
• On the stable equilibrium points of gradient systems
• On the Asymptotically Well Behaved Functions and Global Error Bound for Convex Polynomials
• On the volume and the number of lattice points of some semialgebraic sets
• A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
• Numerical Optimization
• Convergence of the Iterates of Descent Methods for Analytic Cost Functions
• Proof of the gradient conjecture of R. Thom.
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