Basic Definitions 1. 2. 3. 4.Positive Matrix: 5.Non-negative Matrix:

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Presentation transcript:

Basic Definitions Positive Matrix: 5.Non-negative Matrix:

Perron Theorem for Positive Matrices

Non-Negative Matrices

Irreducibility

Corresponding Graph of a Matrix

More on Irreducibility

Perron-Frobenius Theorem I

Perron-Frobenius Theorem II

Primitive Matrices I

Primitive Matrices II

Stochastic Matrices

Markov Chains I (Definitions)

Markov Chains II (States)

Markov Chains III (Classes)

Markov Chains IV (Matrices)

Markov Chains V (Stationary Distribution and Long-Run Behavior)