40 citations · 66 across the 5 of their papers we have counts for
5 papers
Idempotent (Asymptotic) Mathematics and the Representation Theory
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
A brief survey of some basic ideas of the so-called Idempotent Mathematics is presented; an "idempotent" version of the representation theory is discussed. The Idempotent Mathemati…
A unifying approach to software and hardware design for scientific calculations and idempotent mathematics
Grigori Litvinov, Viktor Maslov, Anatoli Rodionov
A unifying approach to software and hardware design generated by ideas of Idempotent Mathematics is discussed. The so-called idempotent correspondence principle for algorithms, pro…
Idempotent functional analysis: an algebraic approach
Grigory Litvinov, Viktor Maslov, Grigory Shpiz
In this paper we consider Idempotent Functional Analysis, an `abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basi…
Idempotent mathematics and interval analysis
Grigori Litvinov, Viktor Maslov, Andrei Sobolevskii
A brief introduction into Idempotent Mathematics and an idempotent version of Interval Analysis are presented. Some applications are discussed.
Nondigital implementation of the arithmetic of real numbers by means of quantum computer media
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
In the framework of a model for quantum computer media, a nondigital implementation of the arithmetic of the real numbers is described. For this model, an elementary storage "cell"…