Oct 24, 2018 · We show that its Lebesgue volume can be approximated as closely as desired by solving a sequence of generalized eigenvalue problems with respect ...

Apr 14, 2019 · We show that its Lebesgue volume vol(K) can be approximated as closely as desired by solving a sequence of gen- eralized eigenvalue problems ...

Consider the sublevel set $K:=\{x: g(x)\leq1\}$ of a nonnegative homogeneous polynomial $g$. We show that its Lebesgue volume $vol(K)$ can be approximated ...

Oct 18, 2018 · Abstract. Consider the sub level set K := {x : g(x) ≤ 1} where g is a positive and homogeneous polynomial. We show that its Lebesgue volume.

Volumes of Sublevel Sets of Homogeneous Polynomials. Abstract. Consider the compact sub-level set $K:=\{x: g(x)\leq1\}$ of a nonnegative homogeneous polynomial ...

Polynomials. ArticlePDF Available. Volume of Sublevel Sets of Homogeneous Polynomials. January 2019; SIAM Journal on Applied Algebra and Geometry 3(2):372-389.

Abstract: Consider the sub-level set K:={x:g(x) ≤ 1} of a nonnegative homogeneous polynomial g. We show that its Lebesgue volume vol(K) can be approximated ...

It is shown that the Lebesgue volume of the sub level set K can be approximated as closely as desired by solving a sequence of generalized eigenvalue ...

From the above formula it follows that vol(Ωg) is a strictly CONVEX function of the coefficients of the polynomial g. very useful for solving Problem P : P : ...

Oct 24, 2018 · We show that its Lebesgue volume can be approximated as closely as desired by solving a sequence of generalized eigenvalue problems with respect ...