3 citations · 5 across the 8 of their papers we have counts for
8 papers
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…
Algorithm for globally identifiable reparametrizations of ODEs
Sebastian Falkensteiner, Alexey Ovchinnikov, J. Rafael Sendra
Structural global parameter identifiability indicates whether one can determine a parameter's value in an ODE model from given inputs and outputs. If a given model has parameters f…
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…
Rational Solutions of Parametric First-Order Algebraic Differential Equations
Sebastian Falkensteiner, Rafael Sendra
In this paper, we give an algorithm for finding general rational solutions of a given first-order ODE with parametric coefficients that occur rationally. We present an analysis, co…
On real and observable rational realizations of input-output equations
Sebastian Falkensteiner, Dmitrii Pavlov, Rafael Sendra
Given a single (differential-algebraic) input-output equation, we present a method for finding different representations of the associated system in the form of rational realizatio…
Transforming Radical Differential Equations to Algebraic Differential Equations
Sebastian Falkensteiner, Rafael Sendra
In this paper we present an algorithmic procedure that transforms, if possible, a given system of ordinary or partial differential equations with radical dependencies in the unknow…
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…