Topics in Interpolation Theory of Rational Matrix-valued Functions
Language: English
Published by Birkhäuser, 2014
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
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Druck auf Anfrage Neuware - Printed after ordering - One of the basic interpolation problems from our point of view is the problem of building a scalar rational function if its poles and zeros with their multiplicities are given. If one assurnes that the function does not have a pole or a zero at infinity, the formula which solves this problem is (1) where Zl , ' ' Z/ are the given zeros with given multiplicates nl, ' ' n / and Wb' ' W are the given p poles with given multiplicities ml, . . . ,m , and a is an arbitrary nonzero number. p An obvious necessary and sufficient condition for solvability of this simplest Interpolation pr- lern is that Zj :f: wk(1~ j ~ 1, 1~ k~ p) and nl +. . . +n/ = ml +. . . +m ' p The second problem of interpolation in which we are interested is to build a rational matrix function via its zeros which on the imaginary line has modulus 1. In the case the function is scalar, the formula which solves this problem is a Blaschke product, namely z z. )mi n u(z) = all = l~ (2) J ( Z+ Zj where [o] = 1, and the zj's are the given zeros with given multiplicities mj. Here the necessary and sufficient condition for existence of such u(z) is that zp :f: - Zq for 1~ ]1, q~ n.…
Seller Inventory # 9783034854719
- Title
- Topics in Interpolation Theory of Rational Matrix-valued Functions
- Author
- I. Gohberg
- Publisher
- Birkhäuser
- Publication year
- 2014
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3034854714
- ISBN 13
- 9783034854719
- Item weight
- 455 grams
- Dimensions
- 244x170x15 mm
"Synopsis" may belong to another edition of this title.
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