The Many Proofs and Applications of Perron's Theorem

DOI10.1137/S0036144599359449zbMath0959.15022MaRDI QIDQ4509766

C. R. MacCluer

Publication date: 19 October 2000

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesiterative methodsMarkov chainnonnegative matricesresolventspositive matricesPerron-Frobenius theory

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Macroeconomic theory (monetary models, models of taxation) (91B64) Microeconomic theory (price theory and economic markets) (91B24) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) General equilibrium theory (91B50)

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