 | This is not a Wikipedia article: It is an individual user's work-in-progress page, and may be incomplete and/or unreliable. For guidance on developing this draft, see Wikipedia:So you made a userspace draft. Find sources: Google (books · news · scholar · free images · WP refs) · FENS · JSTOR · TWL |
An Anderson-Jury Bézoutian is a generalized form of the scalar Bézout matrix (or Bézoutian) that arises from the coefficients of polynomial matrices rather than univariate polynomials. The name Anderson-Jury is attributed to the authors of the seminal paper which first introduced the generalized Bezoutian form.[1] They have been studied due to their connection with the stability of matrix polynomials[2] and for their role in control theory[3]. They are also of interest for their role in the inversion of block Hankel matrices.
- ^ Anderson, B.D.O. and Jury, E.I., 1976, Generalized Bezoutian and Sylvester Matrices in Multivariable Linear Control, IEEE Transactions on Automatic Control, 21 (4): 551 - 556
- ^ Lerer, L. and Tismenetsky, M., 1986, Generalized Bezoutian and the inversion problem for Block matrices, I. general scheme, Integral equations and operator theory, 9 (6): 790 - 819
- ^ Bitmead, R.R., Kung, S.Y., Anderson, B.D.O., and Kailath, T., 1978, Greatest common divisors via generalized Sylvester and Bezout matrices, IEEE Transactions on Automatic Control, 23 (6): 1043 - 1047