Localization of generalized eigenvalues by Cartesian ovals

2011 ◽  
Vol 19 (4) ◽  
pp. 728-741 ◽  
Author(s):  
V. Kostić ◽  
R. S. Varga ◽  
L. Cvetković
Keyword(s):  
Generalized Eigenvalues ◽  
Cartesian Ovals

scholarly journals Generalized principal eigenvalues of convex nonlinear elliptic operators in ℝN

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Anup Biswas ◽  
Prasun Roychowdhury
Keyword(s):  
Eigenvalue Problem ◽  
Principal Eigenvalue ◽  
Unbounded Domains ◽  
Elliptic Operators ◽  
Maximum Principles ◽  
Generalized Eigenvalues ◽  
Nonlinear Elliptic ◽  
Generalized Eigenvalue ◽  
General Convex ◽  
Appl Math

AbstractWe study the generalized eigenvalue problem in {\mathbb{R}^{N}} for a general convex nonlinear elliptic operator which is locally elliptic and positively 1-homogeneous. Generalizing [H. Berestycki and L. Rossi, Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains, Comm. Pure Appl. Math. 68 2015, 6, 1014–1065], we consider three different notions of generalized eigenvalues and compare them. We also discuss the maximum principles and uniqueness of principal eigenfunctions.

A neurodynamic approach to compute the generalized eigenvalues of symmetric positive matrix pair

2019 ◽  
Vol 359 ◽  
pp. 420-426
Author(s):  
Jiqiang Feng ◽  
Su Yan ◽  
Sitian Qin ◽  
Wen Han
Keyword(s):  
Positive Matrix ◽  
Generalized Eigenvalues ◽  
Matrix Pair

Generalized Eigenvalues of Nonsquare Pencils with Structure

2008 ◽  
Vol 30 (1) ◽  
pp. 41-55 ◽  
Author(s):  
Pablo Lecumberri ◽  
Marisol Gómez ◽  
Alfonso Carlosena
Keyword(s):  
Generalized Eigenvalues

Complex Disk Products and Cartesian Ovals

2019 ◽  
Vol 110 (3) ◽  
Author(s):  
Florian Bünger ◽  
Siegfried M. Rump
Keyword(s):  
Cartesian Ovals
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