논문KCI 등재
New Bounds for the Numerical Radius of a Matrix in Terms of Its Entries
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In this work we give new upper and lower bounds for the numerical radius of a complex square matrix A using the entries and the trace of A.
Abstract
In this work we give new upper and lower bounds for the numerical radius of a complex square matrix A using the entries and the trace of A.
참고문헌 (5)
- M. Goldberg, "The numerical radius and spectral matrices", Linear and Multilinear Algebra, 2, pp.317~326 (1975)
- R. Horn, "Topics in Matrix Analysis" (1991), Cambridge University Press
- C. R. Johnson, "A gersgorin inclusion set for the field of values of a finite matrix", Proceedings of the american mathematical society, 41, pp.57~60 (1973)
- J. K. Merikoski, "Lower bounds for the numerical radius", Linear Algebra Appl, 410, pp.135~142 (2005)
- R. A. Smith, "The areal spread of matrices", Linear Algebra Appl, 2, pp.127~129 (1969)
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