Dodgson condensation: The historical and mathematical development of an experimental method

DOI10.1016/j.laa.2007.11.022zbMath1151.15012OpenAlexW2119072491MaRDI QIDQ929472

Francine F. Abeles

Publication date: 17 June 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.11.022

zbMATH Keywords

determinantal identityautomation of determinant evaluations

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Numerical computation of determinants (65F40) History of mathematics in the 19th century (01A55) History of linear algebra (15-03)

Related Items (10)

Tiling enumeration of hexagons with off-central holes ⋮ Enumeration of lozenge tilings of a hexagon with a shamrock missing on the symmetry axis ⋮ Characterizing principal minors of symmetric matrices via determinantal multiaffine polynomials ⋮ Modulated bi-orthogonal polynomials on the unit circle: the \(2j-k\) and \(j-2k\) systems ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Lozenge Tilings of a Halved Hexagon with an Array of Triangles Removed from the Boundary ⋮ Chiò's and Dodgson's determinantal identities ⋮ Nineteenth century roots of quasideterminants ⋮ Lozenge tilings of hexagons with central holes and dents ⋮ Chaos in Determinant Condensation Calculations

Uses Software

• ROBBINS
• rabbit
• CLD
• DODGSON

Cites Work

• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• Binomial determinants, paths, and hook length formulae
• Determinants and alternating sign matrices
• A condensed condensation proof of a determinant evaluation conjectured by Greg Kuperberg and Jim Propp
• Dodgon's determinant-evaluation rule proved by TWO-TIMING MEN and WOMEN
• Liebe Opa Paul, ich bin auch ein experimental scientist!
• Proof of the alternating sign matrix conjecture
• Generating functions for plane partitions of a given shape
• A conjecture about Dodgson condensation
• Determinants and Linear Systems: Charles L. Dodgson's View
• Reverend Charles to the Aid of Major Percy and Fields Medalist Enrico
• Determinants through the looking glass
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