2014 - 2017 Study on the existence of pseudo almost periodic solutions of difference equations and due to the numerical analytical methods of functional ED (Erectile dysfunction) model by the radiation
2009 - 2011 General research which aims at the hybrid iteration method for a matrix equation including a non-diagonal dominant matrix
2004 - 2005 計算機のための適応型前処理付き反復解法の研究
2003 - 2005 The synthetic research for the basic iterative method for the non-diagonal dominant matrix.
1999 - 2000 A DEVELOPMENT OF THE CRITERION METHOD FOR GENERALIZED DIAGONALLY DOMINANT MATRICES AND A STUDY OF THE ITERATIVE METHOD FOR PARALLEL PROCESSING
大規模線型方程式の解法
線型方程式に対する前処理付反復法の開発と研究
Study on Preconditioned Iterative method
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Papers (17):
Toshiyuki Kohno. Preconditioned iterative method for regular splitting. Advances in Pure Mathematics. 2017. 7. 180-187
Kaori Saito, Toshiyuki Kohno, Yoshihiro Hamaya. Global stability properties of virus dynamics of a diffusive model. International Journal of Mathematical Analysis. 2016. 10. 23. 1109-1127
Hiroshi Niki, Toshiyuki Kohno. Comment on 'A comparison theorem of the SOR iterative method'. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2010. 234. 12. 3507-3510
Hiroshi Niki, Toshiyuki Kohno. The Gauss-Seidel method with the preconditioner (I plus gamma G) faster than the generalized SOR method. INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL. 2008. 11. 2. 151-163
Abdurishit Abduwali, Toshiyuki Kohno, Hiroshi Niki. Local Crank-Nicolson Method for Solving the Nonlinear Diffusion Equation. INFORMATION-AN INTERNATIONAL INTERDISCIPLINARY JOURNAL. 2008. 11. 2. 165-169
Toshiyuki Kohno, Hiroshi Niki. A note on the preconditionerPm=(I+Sm). Journal of Computational and Applied Mathematics. 2008