On lower bounds for the largest eigenvalue of a symmetric matrix
โ Scribed by S.G. Walker; P. Van Mieghem
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 120 KB
- Volume
- 429
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
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
are encountered in many systems and control applications, and these matrix equations contain several linear matrix equations as special cases. In the present work, we introduce the inequalities for the determinant of the solutions of these matrix equations, separately. Then using these inequalities,