References
Gohberg, I. and Kaashoek, M.A.: Unsolved problems in matrix and operator theory, II. Partial multiplicities for products, to appear in Integral Equations and Operator Theory.
Gohberg, I., Lancaster, P. and Rodman, L.: Spectral analysis of matrix polynomials, I. Canonical forms and divisors, Lin. Alg. and Appl. 20 (1978), 1–44.
Gohberg, I., Lancaster, P. and Rodman, L.: Spectral analysis of matrix polynomials, II. The resolvent form and spectral divisors, Lin. Alg. and Appl. 21 (1978), 65–88.
Gohberg, I. and Rodman, L.: On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials, Israel J. Math. 30 (1978), 133–151.
Gohberg, I. and Rodman, L.: On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data, Israel J. Math. 30 (1978), 321–334.
Gohberg, I. and Sigal, E.I.: An operator generalization of the logarithmic residue theorem and the theorem of Rouche, Math. U.S.S.R. Sbornik 13 (1971), 603–625.
Rodman, L.: Spectral theory of analytic matrix functions, Ph.D. thesis, Department of Mathematics, Tel-Aviv University, June 1978.
Sigal, E.I.: Partial multiplicities of a product of operator functions, Mat. Issled. 8(3) (1973), 65–79 (Russian).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Rodman, L., Schaps, M. On the partial multiplicities of a product of two matrix polynomials. Integr equ oper theory 2, 565–599 (1979). https://doi.org/10.1007/BF01691077
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01691077