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Factorization and the Schur-Cohn matrix of a matrix polynomial

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References

  • [AY] A.C. Allison and N.J. Young, Numerical algorithms for the Nevanlinna-Pick problem,Numer. Math. 42 (1983) 125–145.

    Google Scholar 

  • [BM] G. Birkhoff and S. MacLane, “A Survey of Modern Algebra”, MacMillan, New York 1941.

    Google Scholar 

  • [C] A. Cohn, Über die Anzahl der Wurzeln einer algebraischen Gleichung in Einem Kreise,Math. Z. 14 (1992), 110–148.

    Google Scholar 

  • [Co] W.A. Coppel, Linear Systems,Notes in Pure Mathematics 6 (1972), Australian National University, Canberra.

    Google Scholar 

  • [DY] H. Dym and N.J. Young, A Schur-Cohn theorem for matrix polynomials,Proc. Edinburgh Math. Soc. 33 (1990), 337–366.

    Google Scholar 

  • [GLR] I. Gohberg, P. Lancaster and L. Rodman, Factorisation of self-adjoint matrix polynomials with constant signature,Linear and Multilinear Algebra 11 (1982) 209–224.

    Google Scholar 

  • [GY] K.D. Gregson and N.J. Young, Finite representations of block Hankel operators and balanced realizations, Operator Theory: Advances and Applications. Vol. 35, pp. 441–480, Birkhaüser, 1988.

    Google Scholar 

  • [K] T. Kailath,Linear Systems, (Prentice Hall, Englewood Cliffs, New Jersey, 1980).

    Google Scholar 

  • [LB] G.M. Ljung and G.E.P. Box, The likelihood function of stationary autoregressive moving average models, Biometrika66 (1979) 265–270.

    Google Scholar 

  • [LT] L. Lerer and M. Tismenetsky, The Bezoutian and the eigenvalue-separation problem for matrix polynomials.Integral Equations and Operator Theory 5 (1982), 386–445.

    Google Scholar 

  • [S] I. Schur, Über potenzreihen, die im Innern des Einheitskreises beschränkt sind,J. für Mathematik 147 (1917), 205–232 and148 (1918), 122–145; English Transl. in:I. Schur Methods in Operator Theory and Signal Processing (Operator Theory: Advances and Applications,OT 18, Birkäuser-Verlag, Basel 1986, pp. 31–88.)

    Google Scholar 

  • [Y1] N.J. Young, The singular value decomposition of infinite Hankel matrices,Linear Algebra and its Applications 50 (1983) 639–656.

    Google Scholar 

  • [Y2] N.J. Young, Polynomial methods for the singular value decomposition of block Hankel operators,Systems and Control Letters,14 (1990) 103–112.

    Google Scholar 

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Dym, H., Young, N. Factorization and the Schur-Cohn matrix of a matrix polynomial. Integr equ oper theory 15, 1–15 (1992). https://doi.org/10.1007/BF01193763

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MSC 1991

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