• Title/Summary/Keyword: decompositions

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BEYOND THE CACTUS RANK OF TENSORS

  • Ballico, Edoardo
    • Bulletin of the Korean Mathematical Society
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    • v.55 no.5
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    • pp.1587-1598
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    • 2018

  • We study additive decompositions (and generalized additive decompositions with a zero-dimensional scheme instead of a finite sum of rank 1 tensors), which are not of minimal degree (for sums of rank 1 tensors with more terms than the rank of the tensor, for a zero-dimensional scheme a degree higher than the cactus rank of the tensor). We prove their existence for all degrees higher than the rank of the tensor and, with strong assumptions, higher than the cactus rank of the tensor. Examples show that additional assumptions are needed to get the minimally spanning scheme of degree cactus +1.

  • https://doi.org/10.4134/BKMS.b170933 인용 PDF KSCI

A Study on Economic Linkages between Korea and Japan

  • Lee, Jae-Ki
    • Journal of Korea Port Economic Association
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    • v.20 no.1
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    • pp.43-55
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    • 2004

  • This paper investigates how Japanese economic shocks affect the Korean economy and analyzes the channels through which they are transmitted. Also, the relative importance of domestic and foreign shocks on the dynamics of certain key macro variables is investigated. The techniques of vector autoregression (VAR) are employed to investigate the international transmission of economic disturbances. The VAR methodology is a particularly useful means for characterizing the dynamic relationships among economic variables without imposing certain types of theoretical restrictions. The dynamic effects of Japanese economic shocks on the Korean economy are evaluated by estimating variance decompositions (VDCs) and impulse response functions (IRFs). This study supports the notion of economic dependence of a small open economy such as Korea to a large economy such as Japan.

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