Recent years have seen a significant rise of interest in
max-linear theory and techniques. Specialised international
conferences and seminars or special sessions devoted to max-algebra
have been organised. This book aims to provide a first detailed and
self-contained account of linear-algebraic aspects of max-algebra
for general (that is both irreducible and reducible) matrices.
Among the main features of the book is the presentation of the
fundamental max-algebraic theory (Chapters 1-4), often scattered in
research articles, reports and theses, in one place in a
comprehensive and unified form. This presentation is made with all
proofs and in full generality (that is for both irreducible and
reducible matrices). Another feature is the presence of advanced
material (Chapters 5-10), most of which has not appeared in a book
before and in many cases has not been published at all.
Intended for a wide-ranging readership, this book will be useful
for anyone with basic mathematical knowledge (including
undergraduate students) who wish to learn fundamental max-algebraic
ideas and techniques. It will also be useful for researchers
working in tropical geometry or idempotent analysis.
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