Inclusion intervals of singular values and applications
β Scribed by Wen Li; Qianshun Chang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 694 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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## Abstract In this paper, some optimal inclusion intervals of matrix singular values are discussed in the set Ξ©~__A__~ of matrices equimodular with matrix __A__. These intervals can be obtained by extensions of the Gerschgorinβtype theorem for singular values, based only on the use of positive sca
In this paper, we first define interval-valued fuzzy numbers and interval-distribution numbers, and then their extended operations are given. Next, we discuss some applications of generalized pseudo-probability metric spaces and pseudo-metric spaces.
Let A be an m Γ n matrix with m β₯ n. Then one form of the singular-value decomposition of A iswhere U and V are orthogonal and Ξ£ is square diagonal. That is,ΰ¬ This material is based on work supported in part by the Russian Ministry of Education Grant E02-2.0-98.