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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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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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今倉暁，楊済栄，曽我部知広，張紹良， “デフレーション型とLook-Back 型のリスタート を併用したGMRES(m) 法の収束特性＂, 日本応用数理学会論文誌，Vol．22，No．3，2012，pp．117-141． |
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今倉暁，曽我部知広，張紹良， “非対称線形方程式のためのLook-Back GMRES(m) 法” 日本応用数理学会論文誌，Vol．22，No．1，2012，pp. 1-21． |
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山下達也，宮田考史，曽我部知広，星健夫，藤原毅夫，張紹良， “一般化固有値問題に対するArnoldi(M,W,G)法”， 日本応用数理学会論文誌，Vol．21，No．3，2011，pp. 241-254． |
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宮田考史，曽我部知広，張紹良， “Jacobi-Davidson 法における修正方程式の解法 －射影空間における Krylov 部分空間のシフト不変性に基づいて－ ”， 日本応用数理学会論文誌，Vol．20，No．2，2010，pp. 115-129． |
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宮田考史，杜磊，曽我部知広，山本有作，張紹良， “多重連結領域の固有値問題に対する Sakurai-Sugiura 法の拡張”， 日本応用数理学会論文誌，Vol．19，No．4，2009，pp．537-550． |
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今倉暁，曽我部知広，張紹良， “GMRES(m)法のリスタートについて”， 日本応用数理学会論文誌，Vol．19，No．4，2009，pp．551-564． |
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前田祥兵，阿部邦美，曽我部知広，張紹良， “AOR法を用いた可変的前処理付き一般化共役残差法”， 日本応用数理学会論文誌，Vol．18，No．1，2008，pp．155-170． |
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今倉暁，曽我部知広，張紹良， “Finger patternのブロック化による陰的wavelet近似逆行列前処理の高速化”， 日本応用数理学会論文誌，Vol．17，No．4，2007，pp．523-542． |
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南さつき，曽我部知広，杉原正顯，張紹良， “Bi-CR法への準最小残差アプローチの適用について”， 日本応用数理学会論文誌，Vol．17，No．3，2007，pp．301-317． |
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阿部邦美，曽我部知広，藤野清次，張紹良， “非対称行列用共役残差法に基づく積型反復解法”， 情報処理学会論文誌「コンピューティングシステム」，Vol．48，No．SIG 8 (ACS18)，2007，pp．11-21． |
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曽我部知広，杉原正顯，張紹良， “共役残差法の非対称行列用への拡張”， 日本応用数理学会論文誌，Vol．15，No．3，2005，pp．445-459． |
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曽我部知広，鄭波，橋本康，張紹良， “非対称Toeplitz行列のための置換行列による前処理”， 日本応用数理学会論文誌，Vol．15，No．2，2005，pp．159-168． |
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曽我部知広，金成海，阿部邦美，張紹良， “CGS法の改良について”， 日本応用数理学会論文誌，Vol．14，No．1，2004，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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A. Imakura, T. Sogabe, and S.-L. Zhang, “A Modification of Implicit Wavelet Sparse Approximate Inverse Preconditioner Based on a Block Finger Pattern”, in: Frontiers of Computational Science 2008, eds. Y. Kaneda, M. Sasai, and K. Tachibana, Nagoya University, 2008, pp. 271-278. |
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T. Sogabe and S.-L. Zhang, (Invited Paper) “Numerical algorithms for solving shifted complex symmetric linear system”, in: Proceedings of the National Institute for Mathematical Sciences, Vol. 3, No. 9, (2008), pp. 145-158. |
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T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara On an application of the QMR_SYM method to complex symmetric shifted linear systems PAMM: Proc. Appl. Math. Mech. 7, (2007), pp. 2020081-2020082. |
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T. Sogabe, T. Hoshi, S.-L. Zhang, and T. Fujiwara, (Invited Paper) “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, (Invited Paper) “An iterative method based on an A-biorthogonalization process for nonsymmetric linear systems”, in: Proceedings of The 7th China-Japan Seminar on Numerical Mathematics, eds. Z.-C. Shi and H. Okamoto, Science Press, Beijing, 2006, pp. 120-130. |
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T. Sogabe and S.-L. Zhang, (Invited Lecture) “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. |
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今倉暁， 曽我部知広，張紹良， 「シフト称線形方程式に対するリスタート付きShifted Krylov部分空間法について」， 京都大学数理解析研究所講究録1791，「科学技術計算における理論と応用の新展開」，2012.4， pp．47-56． |
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T. Miyata, T. Sogabe, and S.-L. Zhang, “On the convergence of the Jacobi-Davidson method based on a shift invariance property”， RIMS Kokyuroku 1733, Mathematical foundation and development of algorithms for scientific computing，2011.3, pp. 78-84. |
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T. Sogabe, T. Hoshi, S.-L. Zhang，and T. Fujiwara, “A fast numerical method for generalized shifted linear systems with complex symmetric matrices”， RIMS Kokyuroku 1719, Recent Developments of Numerical Analysis and Numerical Computation ALgorithms，2010.11, pp. 106-117. |
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T. Sogabe and S.-L. Zhang， “On the use of the QMR SYM method for solving complex symmetric shifted linear systems”， RIMS Kokyuroku 1614, High Performance Algorithms for Computational Science and Their Applications，2008.10, pp. 124-135. |
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T. Sogabe and S.-L. Zhang “CRS: a fast algorithm based on Bi-CR for solving nonsymmeric linear systems”, The First China-Japan-Korea Joint Conference on Numerical Mathematics & The Second East Asia SIAM Symposium, Hokkaido University Technical Report Series in Mathematics (北海道大学数学講究録), 112(2006), pp. 15-18. |
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木村欣司，平野照比古，荻田武史，山澤宏樹，曽我部知広，横山和弘， 「Real Root Countingに関する話題」， 京都大学数理解析研究所講究録1456，「CA-ALIAS」，2005.11，pp．180-187． |
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長谷川秀彦，曽我部知広，荻田 武史， 「非対称行列から生成された対称行列に対するCG 法」， 京都大学数理解析研究所講究録1362，「数値解析と新しい情報技術」， 2004.4， pp．6-12． |
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曽我部知広，張紹良， 「Bi-CR法の積型解法について」， 京都大学数理解析研究所講究録1362，「数値解析と新しい情報技術」，2004.4，pp．22-30． |
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曽我部知広，藤野清次，張紹良， 「COCG法の積型解法について」， 京都大学数理解析研究所講究録1320，「微分方程式の数値解法と線形計算」，2003.5，pp．201-211． |
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曽我部知広， 張紹良， 大規模シフト線形方程式の数値解法－クリロフ部分空間の性質に着目して－， 応用数理，Vol．19，No．3，2009，pp．27-42． |
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曽我部知広， 薩摩順吉，大石進一，杉原正顯 編，『応用数理ハンドブック』，朝倉書店，2013． 「連立1次方程式に対する直接解法」の項目，pp．408-411． 「連立1次方程式に対する反復解法」の項目，pp．412-415． |