Projections in minimax algebra

R.A. Cuninghame-Green

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    Abstract

    An axiomatic theory of linear operators can be constructed for abstract spaces defined over (R, ⊕, ⊗), that is over the (extended) real numbersR with the binary operationsx ⊕ y = max (x,y) andx ⊗ y = x + y. Many of the features of conventional linear operator theory can be reproduced in this theory, although the proof techniques are quite different. Specialisation of the theory to spaces ofn-tuples provides techniques for analysing a number of well-known operational research problems, whilst specialisation to function spaces provides a natural formal framework for certain familiar problems of approximation, optimisation and duality.
    Original languageUndefined
    Pages (from-to)111-123
    JournalMathematical programming
    Volume10
    Issue number1
    DOIs
    Publication statusPublished - 1976

    Keywords

    • IR-85459

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