LU decomposition of totally nonnegative matrices
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Publication:2427942
DOI10.1016/j.laa.2011.11.005zbMath1236.15030arXiv1106.2295OpenAlexW2964049763MaRDI QIDQ2427942
Kenneth R. Goodearl, Thomas H. Lenagan
Publication date: 19 April 2012
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1106.2295
Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)
Related Items (2)
Efficient recognition of totally nonnegative matrix cells ⋮ Decomposition of singular elements of an algebra into product of idempotents, a survey
Cites Work
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- Totally nonnegative cells and matrix Poisson varieties
- Torus-invariant prime ideals in quantum matrices, totally nonnegative cells and symplectic leaves.
- Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
- Descartes systems from corner cutting
- Total positivity and Neville elimination
- Some properties of totally positive matrices
- Determinants and their applications in mathematical physics
- From totally nonnegative matrices to quantum matrices and back, via Poisson geometry
- The LU-factorization of totally positive matrices
- PRIME IDEALS INVARIANT UNDER WINDING AUTOMORPHISMS IN QUANTUM MATRICES
- Totally positive matrices
- Total positivity: tests and parametrizations.
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