[图书][B] p-adic Differential Equations
KS Kedlaya - 2022 - books.google.com
Now in its second edition, this volume provides a uniquely detailed study of $ P $-adic
differential equations. Assuming only a graduate-level background in number theory, the text …
differential equations. Assuming only a graduate-level background in number theory, the text …
Computations with -adic numbers
X Caruso - Les cours du CIRM, 2017 - ccirm.centre-mersenne.org
Résumé Ce texte est une version étendue des notes d'un cours que j'ai donné en janvier
2018 aux «Journées Nationales de Calcul Formel»(JNCF). Ce cours portait sur …
2018 aux «Journées Nationales de Calcul Formel»(JNCF). Ce cours portait sur …
Computing characteristic polynomials of p-curvatures in average polynomial time
R Pagès - Proceedings of the 2021 on International Symposium …, 2021 - dl.acm.org
We design a fast algorithm that computes, for a given linear differential operator with
coefficients in 918;[x], all the characteristic polynomials of its p-curvatures, for all primes p< …
coefficients in 918;[x], all the characteristic polynomials of its p-curvatures, for all primes p< …
On a fast and nearly division-free algorithm for the characteristic polynomial
F Johansson - arXiv preprint arXiv:2011.12573, 2020 - arxiv.org
We review the Preparata-Sarwate algorithm, a simple $ O (n^{3.5}) $ method for computing
the characteristic polynomial, determinant and adjugate of an $ n\times n $ matrix using only …
the characteristic polynomial, determinant and adjugate of an $ n\times n $ matrix using only …
On FGLM Algorithms with Tate Algebras
Tate introduced in [18] the notion of Tate algebras to serve, in the context of analytic
geometry over the p-adics, as a counterpart of polynomial algebras in classical algebraic …
geometry over the p-adics, as a counterpart of polynomial algebras in classical algebraic …
Solving p-adic polynomial systems via iterative eigenvector algorithms
A Kulkarni - Linear and Multilinear Algebra, 2022 - Taylor & Francis
We describe an implementation of a polynomial system solver to compute the approximate
solutions of a 0-dimensional polynomial system with finite precision p-adic arithmetic. We …
solutions of a 0-dimensional polynomial system with finite precision p-adic arithmetic. We …
ZpL: a p-adic precision package
We present a new package ZpL for the mathematical software system SageMath. It
implements a sharp tracking of precision on p-adic numbers, following the theory of …
implements a sharp tracking of precision on p-adic numbers, following the theory of …
[PDF][PDF] DOCTEUR DE L'UNIVERSITÉ DE BORDEAUX
R Pagès - 2024 - math.u-bordeaux.fr
L'étude des opérateurs différentiels linéaires est une partie importante de l'étude algébrique
des équations différentielles. Les anneaux d'opérateurs différentiels linéaires partagent de …
des équations différentielles. Les anneaux d'opérateurs différentiels linéaires partagent de …
Factoring differential operators in positive characteristic.
R Pagès - 2024 - hal.science
he study of linear differential operators is an important part of the algebraic study of
differential equations. Rings of linear differential operators share many properties with rings …
differential equations. Rings of linear differential operators share many properties with rings …
Super-linear convergence in the p-adic QR-algorithm
A Kulkarni, T Vaccon - Linear and Multilinear Algebra, 2022 - Taylor & Francis
The QR-algorithm is one of the most important algorithms in linear algebra. Its several
variants make feasible the computation of the eigenvalues and eigenvectors of a numerical …
variants make feasible the computation of the eigenvalues and eigenvectors of a numerical …