A bidiagonalization-based numerical algorithm for computing the inverses of \((p, q)\)-tridiagonal matrices

DOI10.1007/s11075-022-01446-0MaRDI QIDQ6157458

Ji-Teng Jia, Shuo Ni, Rong Xie, Jie Wang, Xiaoyan Xu

Publication date: 11 May 2023

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

inversesbidiagonal matricesbidiagonalization\(k\)-tridiagonal matrices\((p, q)\)-tridiagonal matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Toeplitz, Cauchy, and related matrices (15B05) Numerical analysis (65-XX) Diagonalization, Jordan forms (15A20)

Cites Work

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• Inversion of \(k\)-tridiagonal matrices with Toeplitz structure
• Fast block diagonalization of \(k\)-tridiagonal matrices
• A block diagonalization based algorithm for the determinants of block \(k\)-tridiagonal matrices
• A new family of \(k\)-Fibonacci numbers
• On the inverse of a general tridiagonal matrix.
• Explicit inverse of a tridiagonal \(k\)-Toeplitz matrix
• Explicit inverse of a tridiagonal \((p, r)\)-Toeplitz matrix
• Symbolic algorithms for the inverses of general \(k\)-tridiagonal matrices
• Eigenvalue clustering of coefficient matrices in the iterative stride reductions for linear systems
• Bidiagonalization of \((k, k + 1)\)-tridiagonal matrices
• A new recursive algorithm for inverting general \(k\)-tridiagonal matrices
• A novel algorithm for inverting a general \(k\)-tridiagonal matrix
• INVERSION FORMULAS FOR TRIDIAGONAL MATRICES WITH APPLICATIONS TO BOUNDARY VALUE PROBLEMS^*
• The discrete hungry Lotka–Volterra system and a new algorithm for computing matrix eigenvalues
• Negative Integral Powers of a Bidiagonal Matrix
• Variants of BICGSTAB for Matrices with Complex Spectrum
• Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
• Ninety years of k-tridiagonal matrices
• Explicit inverses of some tridiagonal matrices

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