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Tangencies and polynomial optimization

Lipschitz continuity of tangent directions at infinity

Definable continuous mappings and Whyburn's conjecture

On types of degenerate critical points of real polynomial functions

Corrigendum to "The Łojasiewicz exponent of a continuous subanalytic function at an isolated zero''

Local minimizers of semi-algebraic functions from the viewpoint of tangencies

Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions

Complementary problems with polynomial data

Existence of efficient and properly efficient solutions to problems of constrained vector optimization

Stability of closedness of closed convex sets under linear mappings

Openness, Hölder metric regularity and Hölder continuity properties of semialgebraic set-valued maps

Error bounds of regularized gap functions for polynomial variational inequalities

Some classical analysis results for continuous definable mappings

Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings

Topological invariants of plane curve singularities: Polar quotients and Łojasiewicz gradient exponents

Bifurcation sets of a real polynomial function of two variables and Newton polygons of singularities at infinity

Bifurcation sets and global monodromies of Newton non-degenerate polynomials on algebraic sets

Global mixed Łojasiewicz inequalities and asymptotic critical values

Optimality conditions for minimizers at infinity in polynomial programming

Genericity in polynomial optimization

Topologically principal part at infinity of polynomials

On the existence of Pareto solutions for polynomial vector optimization problems

Compactness criteria for real algebraic sets and Newton polyhedra

Volume estimates of sublevel sets of real polynomials

A note on nondegenerate matrix polynomials

Genericity and Holder stability in semi-algebraic variational inequalities

On tangent cones at infinity of algebraic varieties

Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates

The global weak sharp minima with explicit exponents in polynomial vector optimization problems

Generic properties for semialgebraic programs

Holder-type global error bounds for non-degenerate polynomial systems

Łojasiewicz inequality with explicit exponent for smallest singular value functions

Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems

Stability and genericity for semi-algebraic compact programs

Semidefinite approximations of the polynomial abscissa

Well-posedness in unconstrained polynomial optimization problems

Łojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices

On local Pareto optima of real analytic mappings

On the effective computation of Łojasiewicz exponents via Newton polyhedra

Minimizing polynomial functions

The degree of C0-sufficiency of analytic function germs with respect to an ideal

An estimation of the number of bifurcation values for real polynomials

On the subanalytically topological types of function germs

A global smooth version of the classical Lojasiewicz inequality

On nonsmooth optimality theorems for robust optimization problems

Global Lojasiewicz-type inequality for non-degenerate polynomial maps

On the Lojasiewicz exponents of quasi-homogeneous functions

Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness

A Frank-Wolfe type theorem for nondegenerate polynomial programs

Computation of the Łojasiewicz exponent of nondegenerate analytic functions

New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors

An explicit bound for the Łojasiewicz exponent of real polynomials

On the gradient of quasi-homogeneous polynomials

The Łojasiewicz exponent of a continuous subanalytic function at an isolated zero

Representations of positive polynomials and optimization on noncompact semi-algebraic sets

Invariance of the global monodromies in families of nondegenerate polynomials in two variables

Solving polynomial optimization problems via the truncated tangency variety and sums of squares

On the Łojasiewicz exponent at infinity of real polynomials

On the topology of the Newton boundary at infinity

Global optimization of polynomials using the truncated tangency variety and sums of squares

Critical values of singularities at infinity of complex polynomials

Đa thức biểu diễn đa thức dương bài toán Moment và ứng dụng

Một số tính chất của ánh xạ đa thức và ứng dụng

Một số tính chất của ánh xạ nửa đại số và ứng dụng

Một số tính chất của ánh xạ đa thức và ứng dụng

Đa thức, biểu diễn đa thức dương, bài toán Moment và ứng dụng

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