منابع مشابه
Upper and Lower Bounds of Eigenvalues: Mode-clamping Theorems*
Upper and lower bounds for the eigenvalues of three types of matrices M are established. If M is written as the sum of a diagonal matrix D plus a matrix A, the real parts of the eigenvalues of M must lie between the real parts of the neighboring diagonal elements of D, no matter how large the elements of A or how closely spaced the diagonal elements of D. One of the types—that representing one ...
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For an n-by-n complex matrix A in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of A. In this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...
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متن کاملupper and lower bounds for numerical radii of block shifts
for an n-by-n complex matrix a in a block form with the (possibly) nonzero blocks only on the diagonal above the main one, we consider two other matrices whose nonzero entries are along the diagonal above the main one and consist of the norms or minimum moduli of the diagonal blocks of a. in this paper, we obtain two inequalities relating the numeical radii of these matrices and also determine ...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1976
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.56.669