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math.FA2001
Tensor products of idempotent semimodules. An algebraic approach
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
We study idempotent analogs of topological tensor products in the sense of A. Grothendieck. The basic concepts and results are simulated on the algebraic level. This is one of a se…
math.RA2001
Exact interval solutions to the discrete Bellman equation and polynomial complexity of problems in interval idempotent linear algebra
Grigori Litvinov, Andrei Sobolevskii
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…