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The Bruhat decomposition of finite Hankel matrices

✍ Scribed by D. Hinrichsen; W. Manthey; D. Prätzel-Wolters


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
539 KB
Volume
7
Category
Article
ISSN
0167-6911

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Conditioning of infinite Hankel matrices
✍ F.S.V. Bazán; Ph.L. Toint 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Let H be an inÿnite Hankel matrix with hi+j-2 as its (i; j)-entry, h k = n l=1 r l z k l , k = 0; 1; : : : ; |z l | ¡ 1, and r l ; z l ∈ C. We derive upper bounds for the 2-condition number of H as functions of n, r l and z l , which show that the Hankel matrix H becomes well conditioned whenever th