3 citations · 5 across the 8 of their papers we have counts for
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Conditions for eigenvalue configurations of two real symmetric matrices (signature approach)
Hoon Hong, Daniel Profili, J. Rafael Sendra
For two real symmetric matrices, their eigenvalue configuration is the relative arrangement of their eigenvalues on the real line. We consider the following problem: given two para…
Conditions for eigenvalue configurations of two real symmetric matrices (symmetric polynomial approach)
Hoon Hong, Daniel Profili, J. Rafael Sendra
Given two real symmetric matrices, their eigenvalue configuration is the relative arrangement of their eigenvalues on the real line. In this paper, we consider the following proble…
Algebraic and Puiseux series solutions of systems of autonomous algebraic ODEs of dimension one in several variables
Jose Cano, Sebastian Falkensteiner, Daniel Robertz +1
In this paper we study systems of autonomous algebraic ODEs in several differential indeterminates. We develop a notion of algebraic dimension of such systems by considering them a…
Number of common roots and resultant of two tropical univariate polynomials
Hoon Hong, J. Rafael Sendra
It is well known that for two univariate polynomials over complex number field the number of their common roots is equal to the order of their resultant. In this paper, we show tha…