Speaker:

Dr. S. Sergeev


Abstract:

It is well known that the sequence of max-algebraic powers of irreducible nonnegative matrices is ultimately periodic. We express this periodicity in terms of CSR-representations and give new bounds on the transient time after which the max-algebraic powers become periodic.

Speaker: Dr. S. Sergeev Abstract: It is well known that the sequence of max-algebraic powers of irreducible nonnegative matrices is ultimately periodic. We express this periodicity in terms of CSR-representations and give new bounds on the transient time after which the max-algebraic powers become periodic.

Periodicity of Matrix Powers in Max Algebra

The Hamilton Institute is a multi-disciplinary research centre established at the National University of Ireland, Maynooth in November 2001.  The Institute seeks to provide a bridge between mathematics and its applications in ICT and biology.

In this podcast feed, we make accessible some of the best seminars held by members of the Hamilton Institute, visitors or guest speakers.

Futhermore, it will also contain the lectures give as part of the 'Network Mathematics Graduate Programme'.

Education

Natural Sciences

The Hamilton Institute is a multi-disciplinary research centre established at the National University of Ireland, Maynooth in November 2001. The Institute seeks to provide a bridge between mathematics and its applications in ICT and biology. In this podcast feed, we make accessible some of the best seminars held by members of the Hamilton Institute, visitors or guest speakers. Futhermore, it will also contain the lectures give as part of the 'Network Mathematics Graduate Programme'.

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Periodicity of Matrix Powers in Max Algebra

Periodicity of Matrix Powers in Max Algebra