Fri streaming af mere end 40.000 e- og lydbøger med Saxo Premium Stream e- og lydbøger Prøv gratis

# Topics in Interpolation Theory of Rational Matrix-Valued Functions

## af I. Gohberg & I. Gohberg

﻿
Du sparer 33% Du sparer 33%
• Bog, hæftet (kr. 699,95) (kr. 699,95)
• kr. 1.039,95
• Leveringstid 5-7 hverdage
• Forventet levering 29-11-2018
• 33%
Format:
Bog, hæftet
Udgivelsesdato:
01-08-2014
Sprog:
Engelsk
Sidetal:
260
Læsernes anmeldelser
(0 anmeldelser)
1. Beskrivelse

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.

## Andre udgaver:

E-bog, PDF

2. Yderligere info
ISBN13:
9783034854719
Vægt:
422 g
Dybde:
14 mm
Bredde:
170 mm
Højde:
244 mm
Forlag:
Birkhäuser
Format:
Hæftet
3. Anmeldelser

## Fandt du ikke hvad du søgte?

Hvis denne bog ikke er noget for dig, kan du benytte kategorierne nedenfor til at finde andre titler. Klik på en kategori for at se lignende bøger.