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X.-M. Gu, T.-Z. Huang, L. Li, H.-B. Li, T Sogabe, and M. Clemens, Quasi-minimal residual variants of the COCG and COCR methods for complex symmetric linear systems in electromagnetic simulations, IEEE Trans. Microw. Theory Techn. (accepted ) |
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L. Du, T. Sogabe, and S.-L. Zhang, IDR(s) for solving shifted nonsymmetric linear systems, J. Comput. Appl. Math., 274 (2015), pp. 35-43. |
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T. Sogabe and F. Yilmaz, A note on a fast breakdown-free algorithm for computing the determinants and the permanents of k-tridiagonal matrices, Appl. Math. Comput., 249 (2014) pp. 98-102. |
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F. Yilmaz and T. Sogabe, A note on symmetric k-tridiagonal matrix family and the Fibonacci numbers, Int. J. Pure and Appl. Math., 96 (2014), pp. 289-298. |
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X.-M. Gu, T.-Z. Huang, J. Meng, T. Sogabe, H.-B. Li, and L. Li, BiCR-type methods for families of shifted linear systems, Comput. Math. Appl., 68 (2014), pp. 746-758. |
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L. Du, T. Sogabe, and S.-L. Zhang, An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems, Appl. Math. Comput., 244 (2014) pp. 10-15. |
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D. J. Lee, T. Miyata, T. Sogabe, T. Hoshi, and S.-L. Zhang, An interior eigenvalue problem from electronic structure calculations, Japan J. Ind. Appl. Math., 30 (2013), pp. 625-633. |
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J. Jia and T. Sogabe, On particular solution of ordinary differential equations with constant coefficients, Appl. Math. Comput., 219 (2013), pp. 6761-6767. |
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J. Jia and T. Sogabe, A novel algorithm for solving quasi penta-diagonal linear systems， J. Math. Chem., 51 (2013), pp. 881-889. |
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A. Imakura, T. Sogabe, and S.-L. Zhang, An efficient variant of the restarted shifted GMRES for solving shifted linear systems, J. Math. Res. Appl., 33 (2013), pp. 127-141. |
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J. Jia, T. Sogabe, and M.E.A. El-Mikkawy, Inversion of k-tridiagonal matrices with Toeplitz structure Comput. Math. Appl., 65 (2013), pp. 116-125 |
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J. Jia and T. Sogabe, A novel algorithm and its parallelization for solving nearly penta-diagonal linear systems, Int. J. Comput. Math., 90 (2013), pp. 435-444. |
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T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara, Solution of generalized shifted linear systems with complex symmetric matrices, J. Comput. Phys., 231(2012), pp. 5669-5684. |
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J. Jia, Q. Kong, and T. Sogabe, A fast numerical algorithm for solving nearly penta-diagonal linear systems, Int. J. Comput. Math., 89 (2012), pp. 851-860. |
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T. Hoshi, S. Yamamoto, T. Fujiwara, T. Sogabe, and S.-L. Zhang, An order-N electronic structure theory with generalized eigen-value equations and its application to a ten-million-atom system, J. Phys.: Condens. Matter 24, (2012) 165502, pp. 1-5. |
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J. Jia, Q. Kong, and T. Sogabe, A new algorithm for solving nearly penta-diagonal Toeplitz linear systems Comput. Math. Appl., 63 (2012), pp. 1238-1243. |
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A. Imakura, T. Sogabe, and S.-L. Zhang， An efficient variant of the GMRES(m) method based on error equations, East Asia J. on Appl. Math. 2 (2012), pp.19-32. |
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T. Sogabe and M.E.A. El-Mikkawy, Fast block diagonalization of k-tridiagonal matrices, Appl. Math. Comput., 218 (2011), pp. 2740-2743. |
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L. Du, T. Sogabe, and S.-L. Zhang, A variant of the IDR(s) method with quasi-minimal residual strategy, J. Comput. Appl. Math. 236 (2011), pp. 621-630. |
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L. Du, T. Sogabe, B. Yu, Y. Yamamoto, and S.-L. Zhang, A block IDR(s) method for nonsymmetric linear systems with multiple right-hand sides, J. Comput. Appl. Math., 235 (2011), pp. 4095-4106. |
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H. Teng, T. Fujiwara, T. Hoshi, T. Sogabe, S.-L. Zhang, and S. Yamamoto, Efficient and accurate linear algebraic methods for large-scale electronic structure calculations with non-orthogonal atomic orbitals, Phys. Rev. B 83, 165103 (2011), pp. 1-12. |
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L. Du, T. Sogabe and S.-L. Zhang, Quasi-minimal residual smoothing technique for the IDR(s) method, JSIAM Letters, 3 (2011), pp. 13-16. |
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T. Sogabe and S.-L. Zhang, An extension of the COCR method to solving shifted linear systems with complex symmetric matrices East Asia J. on Appl. Math., 1 (2011), pp. 97-107. |
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Y. Mizuno, K. Ohi, T. Sogabe, Y. Yamamoto, and Y. Kaneda, Four-point correlation function of a passive scalar field in rapidly fluctuating turbulence: Numerical analysis of an exact closure equation Phys. Rev. E 82, 036316 (2010), pp.1-9. |
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M.E.A. El-Mikkawy and T. Sogabe, A new family of k-Fibonacci numbers, Appl. Math. Comput. 215 (2010), pp. 4456-4461. |
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M.E.A. El-Mikkawy and T. Sogabe, Notes on particular symmetric polynomials with applications, Appl. Math. Comput., 215 (2010), pp. 3311-3317. |
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T. Fujiwara, T. Hoshi, S. Yamamoto, T. Sogabe, and S.-L. Zhang, A novel algorithm of large-scale simultaneous linear equations, J. Phys.: Condens. Matter, 22 (2010), 074206, pp.1-6. |
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Y.-F. Jing, T.-Z. Huang, Y. Zhang, L. Li,
G.-H. Cheng, Z.-G. Ren, Y. Duan, T. Sogabe, and B. Carpentieri, Lanczos-type variants of the COCR method for complex nonsymmetric linear systems, J. Comput. Phys., 228 (2009), pp. 6376-6394. |
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T. Sogabe and M.E.A. El-Mikkawy, On a problem related to the Vandermonde determinant, Discrete Appl. Math., 157 (2009), pp. 2997-2999. |
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A. Imakura, T. Sogabe, and S.-L. Zhang An implicit wavelet sparse approximate inverse preconditioner using block finger pattern, Numer. Linear Algebra. Appl., 16 (2009), pp.915-928. |
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T. Sogabe, M. Sugihara, and S.-L. Zhang, An extension of the conjugate residual method to nonsymmetric linear systems, J. Comput. Appl. Math., 226 (2009), pp. 103-113. |
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T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara, On a weighted quasi-residual minimization strategy for solving complex symmetric shifted linear systems, Electron. Trans. Numer. Anal., 31 (2008), pp. 126-140. |
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S. Yamamoto, T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara, Shifted COCG method and its application to double orbital extended Hubbard model, J. Phys. Soc. Jpn., Vol. 77, No. 11, 114713 (2008), pp. 1-8. |
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T. Sogabe, New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems, Appl. Math. Comput., 202 (2008), pp. 850-856. |
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T. Sogabe, A note on ``A fast numerical algorithm for the determinant of a pentadiagonal matrix", Appl. Math. Comput., 201 (2008), pp. 561-564. |
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T. Sogabe, Numerical algorithms for solving comrade linear systems based on tridiagonal solvers, Appl. Math. Comput., 198 (2008), pp. 117-122. |
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T. Sogabe, A fast numerical algorithm for the determinant of a pentadiagonal matrix Appl. Math. Comput., 196 (2008), pp. 835-841 |
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T. Sogabe, On a two-term recurrence for the determinant of a general matrix, Appl. Math. Comput., 187 (2007), pp. 785-788. |
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T. Sogabe and S.-L. Zhang, A COCR method for solving complex symmetric linear systems, J. Comput. Appl. Math., 199 (2007), pp. 297-303. |
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R. Takayama, T. Hoshi, T. Sogabe, S.-L. Zhang, and T. Fujiwara, Linear algebraic calculation of Green's function for large-scale electronic structure theory, Phys. Rev. B 73, 165108 (2006), pp. 1-9. |
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T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara, A numerical method for calculating the Green's function arising from electronic structure theory, in: Frontiers of Computational Science, eds. Y. Kaneda, H. Kawamura and M. Sasai, Springer-Verlag, Berlin/Heidelberg, 2007, pp. 189-195. |
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T. Sogabe and S.-L. Zhang, An iterative method based on an A-biorthogonalization process for nonsymmetric linear systems, in: Proceedings of The 7th China-Japan Seminar on Numerical Mathematics, ed. Z.-C. Shi and H. Okamoto, Science Press, Beijing, 2006, pp. 120-130. |
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T. Sogabe and S.-L. Zhang, Extended conjugate residual methods for solving nonsymmetric linear systems, in: Numerical Linear Algebra and Optimization, ed. Y. Yuan, Science Press, Beijing/NewYork, 2004, pp. 88-99. |