On new algorithms for inverting Hessenberg matrices

DOI10.1016/j.cam.2012.11.003zbMath1288.65031OpenAlexW2090097767MaRDI QIDQ2453127

Yanyan Li

Publication date: 6 June 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.11.003

zbMATH Keywords

computational complexityinverse matrixmatrix factorizationHessenberg matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Complexity and performance of numerical algorithms (65Y20) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (7)

Inverses of generalized Hessenberg matrices ⋮ On inverses of infinite Hessenberg matrices ⋮ Some results on determinants and inverses of nonsingular pentadiagonal matrices ⋮ Selected papers on computational and mathematical methods in science and engineering (CMMSE) ⋮ Hybrid Ikebe-Newton's iteration for inverting general nonsingular Hessenberg matrices ⋮ A fast and reliable numerical solver for general bordered \(k\)-tridiagonal matrix linear equations ⋮ On linear-time solvers for comrade linear systems

Cites Work

• On the closed representation for the inverses of Hessenberg matrices
• A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
• A new recursive algorithm for inverting Hessenberg matrices
• On inverses of Hessenberg matrices
• Non-symbolic algorithms for the inversion of tridiagonal matrices
• qd-Type Methods for Quasiseparable Matrices
• Inverses of Matrices $\{a_{ij}\}$ which Satisfy $a_{ij} = 0$ for $j > i+p$.
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