Geometric properties for level sets of quadratic functions
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-018-0706-2
Abstract: In this paper, we study some fundamental geometrical properties related to the $${\mathcal {S}}$$S-procedure. Given a pair of quadratic functions (g, f), it asks when “$$g(x)=0 \Longrightarrow ~ f(x)\ge 0$$g(x)=0⟹f(x)≥0” can imply “($$\exists \lambda \in {\mathbb… read more here.
Keywords: properties level; mathcal procedure; quadratic functions; sets quadratic ... See more keywords
On global minimizers of quadratic functions with cubic regularization
Sign Up to like & getrecommendations! Published in 2019 at "Optimization Letters"
DOI: 10.1007/s11590-018-1316-0
Abstract: In this paper, we analyze some theoretical properties of the problem of minimizing a quadratic function with a cubic regularization term, arising in many methods for unconstrained and constrained optimization that have been proposed in… read more here.
Keywords: quadratic functions; global minimizers; minimizers quadratic; cubic regularization ... See more keywords
A linear-time algorithm for minimizing the ratio of quadratic functions with a quadratic constraint
Sign Up to like & getrecommendations! Published in 2021 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-021-01527-1
Abstract: We study the problem of minimizing the ratio of quadratic functions with a quadratic constraint (QCRQ), which is a generation of the trust-region subproblem and covers the regularized total least square problem as a special… read more here.
Keywords: linear time; quadratic constraint; minimizing ratio; functions quadratic ... See more keywords
A unifying approach to solve a class of rank-three programs involving linear and quadratic functions
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DOI: 10.1080/02331934.2017.1325886
Abstract: The aim of this paper is two-fold. First, the so-called ‘optimal level solutions’ method is described in a new unifying framework with the aim to provide an algorithmic scheme able to approach various different classes… read more here.
Keywords: solve class; class; quadratic functions; linear quadratic ... See more keywords
Re-examination of centre of buoyancy curve and its evolute for rectangular cross section, Part 2: Using quadratic functions
Sign Up to like & getrecommendations! Published in 2023 at "Brodogradnja"
DOI: 10.21278/brod74302
Abstract: In this paper, exact hydrostatic particulars equations for the centre of buoyancy curve and metacentric locus curve are given for rectangular cross section using quadratic functions. Those equations have not been given for the hyperbola… read more here.
Keywords: rectangular cross; centre buoyancy; cross section; cross ... See more keywords