Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 247 pp. Englisch. N� de r�f. du vendeur 9783034854719

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Topics in Interpolation Theory of Rational Matrix-Valued Functions (Operator Theory: Advances and Applications)

I. Gohberg

Edit� par Birkh�user 2014-08-23, 2014

ISBN 10 : 3034854714 ISBN 13 : 9783034854719

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Topics in Interpolation Theory of Rational Matrix-valued Functions

I. Gohberg

Edit� par Birkh�user Basel, 2014

ISBN 10 : 3034854714 ISBN 13 : 9783034854719

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Taschenbuch. Etat : Neu. 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. N� de r�f. du vendeur 9783034854719

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Topics in Interpolation Theory of Rational Matrix-valued Functions

I. Gohberg

Edit� par Springer, 2014

ISBN 10 : 3034854714 ISBN 13 : 9783034854719

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Etat : New. pp. 260. N� de r�f. du vendeur 26357315409

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Topics in Interpolation Theory of Rational Matrix-valued Functions

Gohberg I.

Edit� par Springer, 2014

ISBN 10 : 3034854714 ISBN 13 : 9783034854719

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Etat : New. Print on Demand pp. 260 67:B&W 6.69 x 9.61 in or 244 x 170 mm (Pinched Crown) Perfect Bound on White w/Gloss Lam. N� de r�f. du vendeur 356224142

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