A new algorithm for computing the inverse and the determinant of a Hessenberg matrix
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Publication:426994
DOI10.1016/j.amc.2011.10.022zbMath1244.65041OpenAlexW2036225417MaRDI QIDQ426994
Publication date: 13 June 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.10.022
Symbolic computation and algebraic computation (68W30) Numerical computation of determinants (65F40) Direct numerical methods for linear systems and matrix inversion (65F05)
Related Items (12)
On the Hosoya index of a family of deterministic recursive trees ⋮ Determinantal and permanental representations of convolved \((u, v)\)-Lucas first kind \(p\)-polynomials ⋮ A note on a fast breakdown-free algorithm for computing the determinants and the permanents of \(k\)-tridiagonal matrices ⋮ On the computation of inverses and determinants of a kind of special matrices ⋮ Explicit inversion formulas for properly Hessenberg and Toeplitz–Hessenberg matrices ⋮ On new algorithms for inverting Hessenberg matrices ⋮ Hybrid Ikebe-Newton's iteration for inverting general nonsingular Hessenberg matrices ⋮ Determinantal and permanental representations of convolved Lucas polynomials ⋮ A new method to compute the terms of generalized order-\(k\) Fibonacci numbers ⋮ Unnamed Item ⋮ Determinants of some Hessenberg matrices with generating functions ⋮ Evaluation of Hessenberg determinants via generating function approach
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