AbstractIn this paper we will give a new efficient method for factorizing differential operators with rational functions coefficients. This method solves the main problem in Beke's factorization method, which is the use of splitting fields and/or Gröbner basis
It is classical that well-known identities and properties of partial quotients furnish rational appr...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
AbstractThe topic of this paper is formal solutions of linear differential equations with formal pow...
International audienceWe present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordin...
AbstractWe present a new algorithm for computing exponential solutions of differential operators wit...
Software presentation accepted at ISSAC' 21 (Saint Petersburg, Russia, July 18-23, 2021)Internationa...
AbstractThe recently developed algorithm of Niederreiter for the factorization of polynomials over f...
This paper will provide several results for the reducibility of second order differential operator...
Abstract. Differential modules are modules over rings of linear (partial) dif-ferential operators wh...
AbstractGiven a polynomial f(x) with rational integral coefficients, find the factorization of f(x) ...
AbstractBy means of Gröbner basis techniques algorithms for solving various problems concerning subf...
AbstractThe feasibility of factorizing non-negative definite matrices with elements that are rationa...
We present an algorithm to decompose nonlinear differential polynomials in one variable and with rat...
We present some relations that allow the efficient approximate inversion of linear differential oper...
It is classical that well-known identities and properties of partial quotients furnish rational appr...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
AbstractThe topic of this paper is formal solutions of linear differential equations with formal pow...
International audienceWe present a symbolic-numeric Las Vegas algorithm for factoring Fuchsian ordin...
AbstractWe present a new algorithm for computing exponential solutions of differential operators wit...
Software presentation accepted at ISSAC' 21 (Saint Petersburg, Russia, July 18-23, 2021)Internationa...
AbstractThe recently developed algorithm of Niederreiter for the factorization of polynomials over f...
This paper will provide several results for the reducibility of second order differential operator...
Abstract. Differential modules are modules over rings of linear (partial) dif-ferential operators wh...
AbstractGiven a polynomial f(x) with rational integral coefficients, find the factorization of f(x) ...
AbstractBy means of Gröbner basis techniques algorithms for solving various problems concerning subf...
AbstractThe feasibility of factorizing non-negative definite matrices with elements that are rationa...
We present an algorithm to decompose nonlinear differential polynomials in one variable and with rat...
We present some relations that allow the efficient approximate inversion of linear differential oper...
It is classical that well-known identities and properties of partial quotients furnish rational appr...
AbstractThis article gives a short introduction to the theory of Gröbner bases in a class of rings, ...
Let {P n(x)} n=0∞ be a sequence of polynomials of degree n. We define two sequences of differential ...
DOI
Add to ORKG