scholarly journals Local convex directions for Hurwitz stable polynomials

2002 ◽  
Vol 47 (3) ◽  
pp. 532-537
Author(s):  
A.B. Ozguler ◽  
K. Saadaoui
Keyword(s):  
Stable Polynomials ◽  
Local Convex

scholarly journals The construction of local convex hull on the task of pattern recognition

2021 ◽  
Vol 186 ◽  
pp. 360-365
Author(s):  
Kamilov Mirzoyan ◽  
Hudayberdiev Mirzaakbar ◽  
Khamroev Alisher
Keyword(s):  
Pattern Recognition ◽  
Convex Hull ◽  
Local Convex

Anisotropic simplicial meshing using local convex functions

2014 ◽  
Vol 33 (6) ◽  
pp. 1-11 ◽  
Author(s):  
Xiao-Ming Fu ◽  
Yang Liu ◽  
John Snyder ◽  
Baining Guo
Keyword(s):  
Convex Functions ◽  
Local Convex

HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS

2005 ◽  
Vol 02 (03) ◽  
pp. 713-744 ◽  
Author(s):  
JEAN-LUC JOLY ◽  
GUY MÉTIVIER ◽  
JEFFREY RAUCH
Keyword(s):  
Differential Operators ◽  
Cauchy Data ◽  
Influence Curves ◽  
Partial Differential Operators ◽  
Spacelike Hypersurfaces ◽  
The Cauchy Problem ◽  
Local Convex ◽  
Jacobi Equations ◽  
Set Of Points ◽  
Linear Hyperbolic System

If L(t, x, ∂t, ∂x) is a linear hyperbolic system of partial differential operators for which local uniqueness in the Cauchy problem at spacelike hypersurfaces is known, we find nearly optimal domains of determinacy of open sets Ω0⊂ {t = 0}. The frozen constant coefficient operators [Formula: see text] determine local convex propagation cones, [Formula: see text]. Influence curves are curves whose tangent always lies in these cones. We prove that the set of points Ω which cannot be reached by influence curves beginning in the exterior of Ω0is a domain of determinacy in the sense that solutions of Lu = 0 whose Cauchy data vanish in Ω0must vanish in Ω. We prove that Ω is swept out by continuous spacelike deformations of Ω0and is also the set described by maximal solutions of a natural Hamilton–Jacobi equation (HJE). The HJE provides a method for computing approximate domains and is also the bridge from the raylike description using influence curves to that depending on spacelike deformations. The deformations are obtained from level surfaces of mollified solutions of HJEs.

Local convex deformations and sectional curvature

1975 ◽  
Vol 26 (1) ◽  
pp. 432-435 ◽  
Author(s):  
Paul E. Ehrlich
Keyword(s):  
Sectional Curvature ◽  
Local Convex

A local convex method for rank-sparsity factorization

2016 ◽  
Vol 71 ◽  
pp. 31-37 ◽  
Author(s):  
Jiayun Mao ◽  
Zhenyue Zhang
Keyword(s):  
Local Convex
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