Accurate Computations with Block Checkerboard Pattern Matrices

Jorge Delgado, Héctor Orera () and J. M. Peña
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Jorge Delgado: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain
Héctor Orera: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain
J. M. Peña: Departamento de Matemática Aplicada, Universidad de Zaragoza, 50018 Zaragoza, Spain

Mathematics, 2024, vol. 12, issue 6, 1-13

Abstract: In this work, block checkerboard sign pattern matrices are introduced and analyzed. They satisfy the generalized Perron–Frobenius theorem. We study the case related to total positive matrices in order to guarantee bidiagonal decompositions and some linear algebra computations with high relative accuracy. A result on intervals of checkerboard matrices is included. Some numerical examples illustrate the theoretical results.

Keywords: bidiagonal decomposition; high relative accuracy; total positivity; block checkerboard pattern (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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