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The Bezoutian and the eigenvalue-separation problem for matrix polynomials
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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S. H. Lehnigk, Stability Theorems For Linear Motions. (International Series in Applied Mathematics.) XI + 251 S. m. Fig. Englewood Cliffs. N. J. 1966. Prentice‐Hall, Inc. Preis geb. 96.– s. net
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The concepts of a Bezoutiant and a resolvent for operator bundles
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�ber die algebraischen Gleichungen, deren Wurzeln in einem Kreise oder in einer Halbebene liegen
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On the discriminant function of two commuting nonselfadjoint operators
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On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials
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On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data
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Hankel and toeplitz matrices and forms
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Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case
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Inertia theorems for matrices: The semidefinite case
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Application of Hankel matrices of Markov Parameters to the solutions of the Routh-Hurwitz and the Schur-Cohn problems
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Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity
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Location of zeros of a complex polynomial
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Spectral analysis of matrix polynomials— I. canonical forms and divisors
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On the Routh-Hurwitz-Fujiwara and the Schur-Cohn-Fujiwara theorems for the root-separation problem
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The Lyapunov matrix equation SA+A∗S=S∗B∗BS
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Products of reflections in the general linear group over a division ring
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Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors
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Number of zeros of a complex polynomial inside the unit circle
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Introduction to Mathematical Control Theory
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AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
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Matrix equation, matrix polynomial and the number of zeros of a polynomial inside the unit circle
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Problems of control and information theory (Hungary)
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The method of symmetric and Hermitian forms in the theory of the separation of the roots of algebraic equations
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Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices
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On the radial oscillations of a spherical thin shell in the finite elasticity theory
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On the Hermite-Fujiwara theorem in stability theory
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Book Review: Scattering theory for the d'Alembert equation in exterior domains
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Resultants of matrix polynomials
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An algebraic solution to the spectral factorization problem
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Stability theorems for linear motions with an introduction to Lyapunov's direct method
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Generalized Bezoutian and Sylvester matrices in multivariable linear control
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Greatest common divisor via generalized Sylvester and Bezout matrices
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On the factorization of rational matrices
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Bezoutiants, Elimination and Localization
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Spectral Analysis of Selfadjoint Matrix Polynomials
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Introduction to Mathematical Control Theory
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Some general theorems on iterants
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Bezout Integral Operator: Main Property and Underlying Abstract Scheme
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Quasi Commutativity of Regular Matrix Polynomials: Resultant and Bezoutian
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Long Proofs of Two Carlson–Schneider Type Inertia Theorems
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Matrix Generalizations of M. G. Krein Theorems on Orthogonal Polynomials
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A Hermite Theorem for Matrix Polynomials
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Inertia Bounds for Operator Polynomials
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Generalized Bezoutian, Factorization of Rational Matrix Functions and Matrix Quadratic Equations
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Matricial Coupling and Equivalence After Extension
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The Matrix Quadratic Equation and Factorization of Matrix Polynomials
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Tensor Products, Bezoutians, and Stability
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Introduction to Bezoutians
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Generalized Bezoutian and the inversion problem for block matrices, I. General scheme
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Bezout operators for analytic operator functions, I. A general concept of Bezout operator
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Minimal Nonsquare J -Spectral Factorization, Generalized Bezoutians and Common Zeros for Rational Matrix Functions
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Bezoutian and Schur-Cohn problem for operator polynomials
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Inertia characteristics of self-adjoint matrix polynomials
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Factored forms for solutions of AX − XB = C and X − AXB = C in companion matrices
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Common eigenvalues, divisors, and multiples of matrix polynomials: A review
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Generalized Bezoutian and matrix equations
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Carathéodory sequence parametrizations of Potapov-normalized full-rank Jq-elementary factors
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Matrix representations of Bezoutians
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The kernel of the Bezoutian of polynomial matrices
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How to count zeroes of polynomials on quadrature domains using the Bezout matrix
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Kharitonov’s Theorem and Bezoutians
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Zero distribution of matrix polynomials
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The DL(P) vector space of pencils for singular matrix polynomials
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A hidden variable resultant method for the polynomial multiparameter eigenvalue problem
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Bézout and Hankel matrices associated with row reduced matrix polynomials, Barnett-type formulas
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Bezoutians of rational matrix functions, matrix equations and factorizations
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A Schur-Cohn theorem for matrix polynomials
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Stabilisation of matrix polynomials
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