Factorization of Delannoy matrices

descriptionPublicationkeyboard_double_arrow_right Article 19 Apr 2021Embargo end date: 01 Jan 2021Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Elemente der Mathematik, volume 76, pages 178-181 (issn: 0013-6018, eissn: 1420-8962,

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Authors: Brawer, Robert;

doi: 10.4171/em/440 , 10.5169/seals-956760

Factorization of Delannoy matrices

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Abstract

Summary: The Delannoy matrices are factorized with Pascal matrices, which easily results in the Cholesky decomposition and the inverse of such matrices. The determinants of Delannoy matrices are connected with triangular numbers. Finally, a factorization of Delannoy matrices with Hypercube matrices and Pascal matrices is given.

Keywords

Pascal matrices, factorization, Delannoy matrices, Matrices, determinants in number theory, Matrices of integers, Cholesky decomposition, Factorization of matrices

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