| Budget Amount *help |
¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2011: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Research Abstract |
The quality of numerical algorithms can be evaluated by solving extremely ill-conditioned problems; For example, linear simultaneous equations having a coefficient matrix with extremely large condition number and nonlinear equations possessing infinitely many solutions. For this purpose we studied on the generation of extremely ill-conditioned matrices and on an upper bound of the condition number of a matrix and showed the possibility that the upper bound of the condition number derived by Guggenheimer, et al may approximately be achieved.
We also investigate a nonlinear equation derived originally from transistor circuits and found some interesting properties of solution curve equations derived from it.
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