Essays about: "Perron-Frobenius"

Found 3 essays containing the word Perron-Frobenius.

1. 1. Perron-Frobenius' Theory and Applications

   University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

   Author : Karl Eriksson; [2023]
   Keywords : Positive matrices; nonnegative matrices; Perron-Frobenius; linear dynamical systems; Leslie matrices; Markov chain; Google s PageRank algorithm; Positiva matriser; icke-negativa matriser; Perron-Frobenius; linjära dynamiska system; Leslie matris; Markov-kedja; Google s PageRank algoritm;

   Abstract : This is a literature study, in linear algebra, about positive and nonnegative matrices and their special properties. We say that a matrix or a vector is positive/nonnegative if all of its entries are positive/nonnegative. First, we study some generalities and become acquainted with two types of nonnegative matrices; irreducible and reducible. READ MORE

3. 2. Perron–Frobenius theorem and Z≥0[S3]-semimodules

   University essay from Uppsala universitet/Algebra, logik och representationsteori

   Author : Mikolaj Cuszynski-Kruk; [2022]
   Keywords : ;

   Abstract : In this thesis, the Perron–Frobenius theorem which in its most general formstates that the spectral radius of a non-negative real square matrix is an eigenvaluewith a non-negative eigenvector, is proven. Related properties arederived, in particular the Collatz–Wielandt formula and a general form of anon-negative idempotent matrices. READ MORE

4. 3. Spectral Theory for Perron-Frobenius operators

   University essay from Uppsala universitet/Tillämpad matematik och statistik

   Author : Wouter Slegers; [2019]
   Keywords : ;

   Abstract : .... READ MORE