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

Author:

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

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference27 articles.

1. Sogabe, T., El-Mikkawy, M.E.A.: Fast block diagonalization of k-tridiagonal matrices. Appl. Math. Comput. 218(6), 2740–2743 (2011)

2. Fonseca, C.M., Kowalenko, V., Losonczi, L.: Ninety years of k-tridiagonal matrices. Stud. Sci. Math. Hung. 57(3), 298–311 (2020)

3. Takahira, S., Sogabe, T., Usuda, T.S.: Bidiagonalization of (k,k + 1)-tridiagonal matrices. Special Matrices 7(1), 20–26 (2019)

4. Fonseca, C.M.D., Sogabe, T., Yilmaz, F.: Lower k-Hessenberg matrices and k-Fibonacci, Fibonacci-p and Pell (p,i) numbers. General Mathematical Notes 31(1), 10–17 (2015)

5. Ohashi, A., Sogabe, T., Usuda, T.S.: Fast block diagonalization of $(k, k^{\prime }) $-pentadiagonal matrices. Int. J. Pure Appl. Math. 106(2), 513–523 (2016)

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