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Sharp bounds on the spectral radius of nonnegative matrices and digraphs

โœ Scribed by Butler, Brian K.; Siegel, Paul H.


Book ID
120601522
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
396 KB
Volume
439
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES


Inequalities of Rayleigh quotients and b
โœ Don Coppersmith; Alan J. Hoffman; Uriel G. Rothblum ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 844 KB

Given a square, nonnegative, symmetric matrix A, the Rayleigh quotient of a nonnegative vector u under A is given by QA(u)= urAu//uru. We show that QA(~/u o Au ) is not less than QA(u), where ~--denotes coordinatewise square roots and o is the Hadamard product, but that QA(Au) may be smaller than QA