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- Tomohiro Sogabe
- Applied Mathematics and Computation
- 2008

- Tomohiro Sogabe
- Applied Mathematics and Computation
- 2008

- Yan-Fei Jing, Ting-Zhu Huang, +6 authors Bruno Carpentieri
- J. Comput. Physics
- 2009

Article history: Received 1 October 2008 Received in revised form 28 April 2009 Accepted 14 May 2009 Available online 20 May 2009

- Tomohiro Sogabe
- Applied Mathematics and Computation
- 2008

Recently, two efficient algorithms for solving comrade linear systems have been proposed by Karawia [A.A. Karawia, Two algorithms for solving comrade linear systems, Appl. Math. Comput. 189 (2007) 291–297]. The two algorithms are based on the LU decomposition of the comrade matrix. In this paper, two algorithms are presented for solving the comrade linear… (More)

- Ji-Teng Jia, Tomohiro Sogabe
- Applied Mathematics and Computation
- 2013

- Tomohiro Sogabe
- Applied Mathematics and Computation
- 2008

- Moawwad E. A. El-Mikkawy, Tomohiro Sogabe
- Applied Mathematics and Computation
- 2010

- Tomohiro Sogabe, Moawwad E. A. El-Mikkawy
- Discrete Applied Mathematics
- 2009

The elementary symmetric polynomials play a fundamental role in algebra, discrete mathematics, combinatorics, numerical analysis and computer science. It is of great importance to find properties of the elementary symmetric polynomials; for the properties, see, e.g., [5]. In the area of linear algebra, it has been recently found that some special matrices… (More)

- Tomohiro Sogabe, Moawwad E. A. El-Mikkawy
- Applied Mathematics and Computation
- 2011

In the present paper, we give a fast algorithm for block diagonalization of k-tridiagonal matrices. The block diagonalization provides us with some useful results: e.g., another derivation of a very recent result on generalized k-Fibonacci numbers in [M.E.A. El-Mikkawy, T. Sogabe, A new family of k-Fibonacci numbers, Appl. Math. Comput. 215 (2010) 4456–… (More)

- Tomohiro Sogabe, Takeo Hoshi, Shaoliang Zhang, Takeo Fujiwara
- J. Comput. Physics
- 2012