A note on the resolvent of a nonnegative matrix and its applications

DOI10.1016/j.laa.2009.11.004zbMath1192.15015OpenAlexW2076962931MaRDI QIDQ962083

Siddhartha Sahi

Publication date: 6 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.004

zbMATH Keywords

nonnegative matrixinverse \(M\)-matrixLeontief modelGoogle page-rank

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Multisectoral models in economics (91B66) Other game-theoretic models (91A40) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items (3)

Majorisations for the eigenvectors of graph-adjacency matrices ⋮ Logarithmic convexity of fixed points of stochastic kernel operators ⋮ Competing for customers in a social network

Cites Work

• Competing for customers in a social network
• A theory of money and financial institutions. 28. The noncooperative equilibria of a closed trading economy with market supply and bidding strategles
• The non-cooperative equilibria of a trading economy with complete markets and consistent prices
• A strategic market game with complete markets
• Logarithmic Convexity of Perron-Frobenius Eigenvectors of Positive Matrices
• Nonnegative Matrices whose Inverses are M-Matrices
• The weak law of large numbers for nonnegative summands
• Note: Some Conditions of Macroeconomic Stability
• Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
• Nonnegative Square Matrices

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