The roots of matrix pencils \((Ay=\lambda By)\): Existence, calculations, and relations to game theory
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Publication:1219337
DOI10.1016/0024-3795(72)90003-1zbMath0311.15008OpenAlexW2083972422MaRDI QIDQ1219337
Roman L. Weil, Gerald L. Thompson
Publication date: 1972
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(72)90003-1
2-person games (91A05) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)
Related Items (8)
Non-standard analysis revisited: an easy axiomatic presentation oriented towards numerical applications ⋮ A definition of numerical range of rectangular matrices ⋮ Methods and algorithms of solving spectral problems for polynomial and rational matrices ⋮ Computing the natural factors of a closed expanding economy model ⋮ Computation of zeros of linear multivariable systems ⋮ Calculation of transmission zeros using QZ techniques ⋮ Numerical methods and questions in the organization of calculus. XII. Transl. from the Russian ⋮ More on pseudospectra for polynomial eigenvalue problems and applications in control theory
Cites Work
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- On the matrix equation \(Ax =\lambda Bx\)
- Reduction of the symmetric eigenproblem \(Ax =\lambda Bx\) and related problems to standard form
- Parametrized games and the eigenproblem
- Linear Inequalities and Related Systems. (AM-38)
- A Generalization of the von Neumann Model of an Expanding Economy
- $Ax = \lambda Bx$ and the Generalized Eigenproblem
- Von Neumann Model Solutions Are Generalized Eigensystems
- Note on the matrix equation Ax = Bx
- Game Theory and Eigensystems
- Computation of Expansion Rates for the Generalized von Neumann Model of an Expanding Economy
- Eigenvalues of Ax = Bx with band symmetric A and B
- Further Relations between Game Theory and Eigensystems
- Reducing the Rank of (A - λB)
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