On the unsolvability of inverse singular value problems almost everywhere |
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| Authors: | Xiao Shan Chen Hai-Wei Sun |
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| Institution: | 1. School of Mathematical Sciences, South China Normal University , Guangzhou, People’s Republic of China.;2. Department of Mathematics, University of Macau , Macau, Macao. |
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| Abstract: | In this paper, the unsolvability of inverse singular value problems almost everywhere is discussed. Applying the method described by Sun and Ye J Comput Math. 1986;4:212–226], a sufficient condition is given such that the inverse singular value problems are unsolvable almost everywhere. This result shows that inverse singular value problems are unsolvable almost everywhere if the multiplicity of zero singular values is sufficiently large. |
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| Keywords: | Inverse singular value problem zero singular value unsolvability |
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