| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
Least squares problems arise, for instance, when one wants to find a solution to system of linear equations where there are more equations than unknowns. They are fundamental problems in science and engineering etc. In this research, we developed a new method to solve large and difficult least squares problems efficiently and accurately using an iterative scheme. We demonstrated the effectiveness of the method by numerical experiments and theory. Further, we developed methods for solving problems with constraints on the unknowns, and also nonlinear problems. We also developed methods for solving inverse problems where the parameters of how medicine becomes effective in the patient's body, from how the excretion varies with time.
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