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Bi-orthogonality in rational approximation

✍ Scribed by A. Iserles; E.B. Saff


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
492 KB
Volume
19
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES


Bi-orthogonality in rational approximati
✍ A. Iserles; E.B. Saff πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 395 KB

The well-known connection between Pad6 approximants to Stieltjes functions and orthogonal polynomials is crucial in locating zeros and poles and in convergence theorems. In the present paper we extend similar types of analysis to more elaborate forms of approximation. It transpires that the link wit

Orthogonality and its approximation in t
✍ J.C. Gower; B. Zeilman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 671 KB

Given a square matrix A, we discuss the problem of seeking some constrained matrix C which satisfies (i) A + C =M and (ii) AC=M where M is symmetric, or nearly so. ## Typical constraints on C include low rank, orthogonality and low-rank departures from a unit matrix. Graphical representation is d