The Growth of Powers of a Nonnegative Matrix
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Publication:3963947
DOI10.1137/0601022zbMath0498.65018OpenAlexW1996551653MaRDI QIDQ3963947
Hans Schneider, Shmuel Friedland
Publication date: 1980
Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/725858bdba51a948fca3b37312c611454bfd904c
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
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Cites Work
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- Algebraic eigenspaces of nonnegative matrices
- On the singular graph and the Weyl characteristic of an M-matrix
- On an inverse problem for nonnegative and eventually nonnegative matrices
- Über die Determinanten mit überwiegender Hauptdiagonale
- Einschliessungssatz für die charakteristischen Zahlen von Matrizen
- Unzerlegbare, nicht negative Matrizen
- Expansions of Sums of Matrix Powers
- Convergent Powers of a Matrix with Applications to Iterative Methods for Singular Linear Systems
- A Note on M-Matrix Equations