Results 1 to 10 of about 549 (53)
Lower Bounds for a Polynomial on a basic closed semialgebraic set using geometric programming [PDF]
$f,g_1,...,g_m$ be elements of the polynomial ring $\mathbb{R}[x_1,...,x_n]$. The paper deals with the general problem of computing a lower bound for $f$ on the subset of $\mathbb{R}^n$ defined by the inequalities $g_i\ge 0$, $i=1,...,m$. The paper shows
Ghasemi, Mehdi, Marshall, Murray
core +1 more source
On the convergence of the central path in semidefinite optimization. [PDF]
Halická, M., Klerk, E. de, Roos, C.
core +1 more source
Reduction of symmetric semidefinite programs using the regular*-representation. [PDF]
Klerk, E. de +2 more
core +1 more source
Optimal Embeddings of Distance Regular Graphs into Euclidean Spaces [PDF]
In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least distortion for Hamming graphs, Johnson graphs, and all strongly regular graphs.
Bannai +11 more
core +16 more sources
Logarithmic Barrier Method Via Minorant Function for Linear Semidefinite Programming
We propose in this study, a new logarithmic barrier approach to solve linear semidefinite programming problem. We are interested in computation of the direction by Newton’s method and of the displacement step using minorant functions instead of line ...
Leulmi Assma
doaj +1 more source
A conic optimization problem is a problem involving a constraint that the optimization variable be in some closed convex cone. Prominent examples are linear programs (LP), second order cone programs (SOCP), semidefinite problems (SDP), and copositive ...
Mirjam Dür, Franz Rendl
doaj +1 more source
Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe
Background – Serum testing for allergen‐specific immunoglobulin (Ig)E is commonly employed to identify allergens used for allergen‐specific immunotherapy in dogs, yet the reliability of results has been a matter of debate. Objective – The aim of this study was to evaluate the reproducibility of serum tests for environmental allergen‐specific IgE in ...
Katja N. Baumann +4 more
wiley +1 more source
ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
wiley +1 more source
Alternative SDP and SOCP approximations for polynomial optimization
In theory, hierarchies of semidefinite programming (SDP) relaxations based on sum of squares (SOS) polynomials have been shown to provide arbitrarily close approximations for a general polynomial optimization problem (POP).
Xiaolong Kuang +3 more
doaj +1 more source
A bounded degree SOS hierarchy for polynomial optimization
We consider a new hierarchy of semidefinite relaxations for the general polynomial optimization problem (P):f∗=min{f(x):x∈K} on a compact basic semi-algebraic set K⊂Rn.
JeanB. Lasserre +2 more
doaj +1 more source

