10 citations · 12 across the 2 of their papers we have counts for
5 papers
Universal algorithms for solving the matrix Bellman equations over semirings
Grigory L. Litvinov, Anatoly Ya. Rodionov, Sergei N. Sergeev +1
This paper is a survey on universal algorithms for solving the matrix Bellman equations over semirings and especially tropical and idempotent semirings. However, original algorithm…
Universal algorithms, mathematics of semirings and parallel computations
G. L. Litvinov, V. P. Maslov, A. Ya. Rodionov +1
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…
Approximate rational arithmetics and arbitrary precision computations
Grigori Litvinov, Anatoli Rodionov, Andrei Chourkin
We describe an approximate rational arithmetic with round-off errors (both absolute and relative) controlled by the user. The rounding procedure is based on the continued fraction…
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…
Unifying Approach to Software and Hardware Design for Scientific Calculations
G. L. Litvinov, V. P. Maslov, A. Ya. 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…