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- W2036067411 abstract "Abstract Let N be an n-by-n diagonal matrix whose distinct eigenvalues form corners of their convex hull, let x be a vector in with nonzero components, and let A be the compression of N to the orthogonal complement of x. In this article, we study the properties of the eigenvalues and the numerical range of A and show that in many ways they are analogous to the ones for unitary N. The approach via the diagonal form of N yields a much simpler proof for some of the main results in this area. Keywords: Numerical rangeNormal compression Acknowledgment This research was supported by the National Science Council of the Republic of China under research projects NSC-91-2115-M-008-011 and NSC-91-2115-M-009-007 of the respective authors. Notes †E-mail: pywu@math.nctu.edu.tw Additional informationNotes on contributorsPei Yuan Wu Footnote† †E-mail: pywu@math.nctu.edu.tw" @default.
- W2036067411 created "2016-06-24" @default.
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- W2036067411 date "2004-05-01" @default.
- W2036067411 modified "2023-10-16" @default.
- W2036067411 title "Numerical Range of a Normal Compression" @default.
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- W2036067411 doi "https://doi.org/10.1080/0308108031000123659" @default.
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