Universal numerical algorithms and their software implementation

DOI10.1007/BF02759321zbMath0968.68194arXivmath/0102114OpenAlexW1988236064MaRDI QIDQ1592078

E. V. Maslova, Grigori L. Litvinov

Publication date: 15 January 2001

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0102114

zbMATH Keywords

C++-type languagesuniversal algorithm

Mathematics Subject Classification ID

Nonnumerical algorithms (68W05) Theory of programming languages (68N15)

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Idempotent and tropical mathematics; complexity of algorithms and interval analysis ⋮ Max-plus definite matrix closures and their eigenspaces ⋮ Universal algorithms for solving the matrix Bellman equations over semirings ⋮ Tropical mathematics and the financial catastrophe of the 17th century. Thermoeconomics of Russia in the early 20th century ⋮ Thermolinguistics and human thermodynamics. Correspondence principles ⋮ The Markov chain tree theorem in commutative semirings and the state reduction algorithm in commutative semifields ⋮ A complex structure-preserving algorithm for split quaternion matrix \textit{LDU} decomposition In split quaternion mechanics ⋮ A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications ⋮ Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings

Cites Work

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• A systolic array algorithm for the algebraic path problem (shortest paths; matrix inversion)
• Algebraic structures for transitive closure
• Regular Algebra Applied to Path-finding Problems
• An Algebra for Network Routing Problems

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