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Lower bounds for the condition number of Vandermonde matrices

โœ Scribed by Walter Gautschi; Gabriele Inglese


Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
339 KB
Volume
52
Category
Article
ISSN
0029-599X

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Lower bounds for the eigenvalues of Lapl
โœ Abraham Berman; Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 70 KB

We give a lower bound for the second smallest eigenvalue of Laplacian matrices in terms of the isoperimetric number of weighted graphs. This is used to obtain an upper bound for the real parts of the nonmaximal eigenvalues of irreducible nonnegative matrices.