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A Sharp Bound for Products of Hyperbolic Plane Rotations

โœ Scribed by Pan, C. T.; Sigmon, Kermit


Book ID
118212551
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
468 KB
Volume
9
Category
Article
ISSN
0895-4798

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โœ Ivan Slapniฤar; Kreลกimir Veseliฤ‡ ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 317 KB

The hyperbolic eigenvector matrix is a matrix X which simultaneously diagonalizes the pair (H,J), where H is Hermitian positive definite and J = diag(:E1) such that X\*HX = A and X\*JX = J. We prove that the spectral condition of X, r(X), is bounded by K(X) ~< ~/min x(D\*HD), where the minimum is ta