The QR Decomposition and the Singular Value Decomposition in the Symmetrized Max-Plus Algebra Revisited

DOI10.1137/S00361445024039zbMath1006.15014OpenAlexW2087414065MaRDI QIDQ3151332

Bart De Schutter, Bart De Moor

Publication date: 15 October 2002

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

Full work available at URL: https://doi.org/10.1137/s00361445024039

zbMATH Keywords

flexible manufacturing systemsdiscrete-event systemssingular value decompositionQR decompositionmax-plus algebramatrix decompositionsLU decompositionrailway networksHessenberg decompositionparallel processor systems

Mathematics Subject Classification ID

Factorization of matrices (15A23) Endomorphism rings; matrix rings (16S50) Discrete event control/observation systems (93C65) Eigenvalues, singular values, and eigenvectors (15A18) Algebraic systems of matrices (15A30)

Related Items (6)

The minimizing vector theorem in symmetrized max-plus algebra ⋮ A walk on max-plus algebra ⋮ A simultaneous decomposition for seven matrices with applications ⋮ Algorithms for approximate subtropical matrix factorization ⋮ Max-plus singular values ⋮ Some applications of a decomposition for five quaternion matrices in control system and color image processing

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