ŁOJASIEWICZ INEQUALITY FOR POLYNOMIAL FUNCTIONS ON NON-COMPACT DOMAINS

DOI10.1142/S0129167X12500334zbMath1246.26013MaRDI QIDQ5389546

Dinh Si Tiep, Nguyen Thi Thao, Ha Huy Vui

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Łojasiewicz inequalityreal polynomial functionsingularity at infinity

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Complex singularities (32S99) Real algebraic and real-analytic geometry (14P99)

Related Items (10)

Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions ⋮ Hölder-type global error bounds for non-degenerate polynomial systems ⋮ Lipschitz continuity of tangent directions at infinity ⋮ On the global Łojasiewicz inequality for polynomial functions ⋮ The global weak sharp minima with explicit exponents in polynomial vector optimization problems ⋮ The Łojasiewicz exponent at infinity of non-negative and non-degenerate polynomials ⋮ Global Łojasiewicz-type inequality for non-degenerate polynomial maps ⋮ A global smooth version of the classical Łojasiewicz inequality ⋮ New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors ⋮ ŁOJASIEWICZ INEQUALITY ON NON-COMPACT DOMAINS AND SINGULARITIES AT INFINITY

Cites Work

• Unnamed Item
• On the division of distributions by polynomials
• Nonconvex minimization problems
• Atypical values at infinity of a polynomial function on the real plane: An erratum, and an algorithmic criterion
• Łojasiewicz inequality at infinity for polynomials in two real variables

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