In this note we construct a solution of a matrix interval linear equation of the form X = AX + B (the discrete stationary Bellman equation) over partially ordered semirings, including the semiring R… (More)

This paper is a brief introduction to idempotent and tropical mathematics. Tropical mathematics can be treated as a result of the so-called Maslov dequantization of the traditional mathematics over… (More)

Several construction methods for rational approximations to functions of one real variable are described in the present paper; the computational results that characterize the comparative accuracy of… (More)

The concept of a universal algorithm is discussed. Examples of this kind of algorithms are presented. Software implementations of such algorithms inC ++-type languages are discussed together with… (More)

This paper is devoted to Idempotent Functional Analysis, which is an “abstract” version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a brief survey of the basic… (More)

This paper is a survey on universal algorithms for solving the matrix Bellman equations over semirings and especially tropical and idempotent semirings. However, original algorithms are also… (More)

In this paper, we present an algebraic approach to idempotent functional analysis, which is an abstract version of idempotent analysis in the sense of [1–3]. Elements of such an approach were used,… (More)

This is a survey paper on applications of mathematics of semirings to numerical analysis and computing. Concepts of universal algorithm and generic program are discussed. Relations between these… (More)