The factorization of block matrices with generalized geometric progression rows

DOI10.1016/j.laa.2004.01.021zbMath1121.65028OpenAlexW2133690918MaRDI QIDQ1434385

Heidi Holtti, Yongzhi Yang

Publication date: 4 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.021

zbMATH Keywords

Pascal matricesFactorizationGeneralized geometric progression block matrixVandermonde and generalized Vandermonde matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items

Unnamed Item ⋮ Generalized Pascal functional matrix and its applications ⋮ On Multivariate Interpolation ⋮ Factorization of determinants over finite fields and application in stream ciphers

Cites Work

• Unnamed Item
• Unnamed Item
• Inverses of generalized Vandermonde matrices
• The block decomposition of a Vandermonde matrix and its applications
• An extension of the generalized Pascal matrix and its algebraic properties
• Explicit factorization of the Vandermonde matrix
• A Note on Generalized Vandermonde Determinants
• On the Vandermonde Matrix
• The Generalized Vandermonde Matrix
• Obtaining the inverse of the generalized Vandermonde matrix of the most general type
• Pascal's Matrices
• The Vandermonde Matrix
• Stirling matrix via Pascal matrix