| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
Kronecker products defined for vectors and matrices are extended for general multi-dimensional arrays (tensors), and several methods for tensor data processing are developed in this research. First, a relationship between the approximation with Kronecker products of a tensor and the best rank-1 approximations is shown. Next, an approximation problem with Kronecker products of tensors is presented and an iterative algorithm for solving the problem is derived, and then the Kronecker product representation of the best rank-1 approximation of a tensor is generalized.
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