• Publications
  • Influence
An Introduction to Pseudo-Linear Algebra
TLDR
Pseudo-linear algebra is the study of common properties of linear differential and difference operators. Expand
  • 198
  • 13
  • PDF
On Solutions of Linear Ordinary Difference Equations in their Coefficient Field
  • M. Bronstein
  • Computer Science, Mathematics
  • J. Symb. Comput.
  • 1 June 2000
TLDR
We extend the notion of monomial extensions of differential fields, i.e. simple transcendental extensions in which the polynomials are closed under differentiation, to difference fields. Expand
  • 88
  • 11
  • PDF
Symbolic integration I: transcendental functions
TLDR
Crosspoint switching array, each crosspoint switching circuit including silicon controlled switches for connecting signal lines of one group of transmission lines to signal lines belonging to another group. Expand
  • 144
  • 10
On polynomial solutions of linear operator equations
TLDR
The algorithm described here extends the algorithm to nd all polynomial solutions of di erential and di erence equations that was given in [1, 2] to more general operators. Expand
  • 116
  • 9
Integration of Elementary Functions
  • M. Bronstein
  • Computer Science, Mathematics
  • J. Symb. Comput.
  • 1 February 1990
TLDR
We extend a recent algorithm of Trager to a decision procedure for the indefinite integration of elementary functions. Expand
  • 56
  • 9
On solutions of linear functional systems
TLDR
We describe a new direct algorithm for transforming a linear system of recurrences into an equivalent one with nonsingular leading or trailing matrix. Expand
  • 58
  • 7
Fast deterministic computation of determinants of dense matrices
TLDR
T 0 (rl’(log 7I + log IlMll) + 7/” log’ IlMl): where 7,. Expand
  • 68
  • 5
An improved algorithm for factoring linear ordinary differential operators
TLDR
We describe an efficient algorithm for computing the associated equations appearing in the Beke-Schlesinger factorisation method for linear ordinary differential operators. Expand
  • 65
  • 5
Structure theorems for parallel integration
  • M. Bronstein
  • Computer Science, Mathematics
  • J. Symb. Comput.
  • 1 July 2007
TLDR
We introduce structure theorems that refine Liouville's Theorem on integration in closed form for general derivations on multivariate rational function fields, providing theoretical backing for the Risch-Norman integration method. Expand
  • 5
  • 3
...
1
2
3
4
5
...