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Improvable bounds on the largest eigenvalue of a completely positive finite element flexibility matrix

โœ Scribed by Isaac Fried; Michael Coleman


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
192 KB
Volume
283
Category
Article
ISSN
0022-460X

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Error bounds on the power method for det
โœ Joel Friedman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 957 KB

Let A be a positive definite, symmetric matrix. We wish to determine the largest eigenvalue, 1,. We consider the power method, i.e. that of choosing a vector v. and setting vk = Akvo; then the Rayleigh quotients Rk = (Auk, vk)/( ok, ok) usually converge to 21 as k -+ 03 (here (u, v) denotes their in