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Israel Gohberg
Researcher at Tel Aviv University
Publications - 456
Citations - 18760
Israel Gohberg is an academic researcher from Tel Aviv University. The author has contributed to research in topics: Matrix (mathematics) & Matrix function. The author has an hindex of 54, co-authored 456 publications receiving 18177 citations. Previous affiliations of Israel Gohberg include Bar-Ilan University & VU University Amsterdam.
Papers
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Book ChapterDOI
Dichotomy of systems and invertibility of linear ordinary differential operators
Asher Ben-Artzi,Israel Gohberg +1 more
TL;DR: In this article, a linear ordinary differential operator of first order with bounded coefficients is shown to be invertible in L 2 n (−∞,∞) or Fredholm in L2 n (0, ∞) if and only if the underlying system of homogeneous differential equations has a dichotomy.
Book ChapterDOI
Minimality and realization of discrete time-varying systems
TL;DR: In this article, the minimality and realization theory for discrete time-varying finite dimensional linear systems with time varying state spaces has been developed, and the results appear as a natural generalization of the corresponding theory for the time independent case.
Journal ArticleDOI
Spectral analysis of matrix polynomials— I. canonical forms and divisors
TL;DR: In this paper, the Jordan normal form for complex matrices is extended to admit canonical triples of matrices for monic matrix polynomials and to standard triples for operators of monic matrices on finite dimensional linear spaces.
Journal ArticleDOI
Equivalence, linearization, and decomposition of holomorphic operator functions
TL;DR: In this paper, it was shown that given a holomorphic function A on a bounded domain Ω into a space of bounded linear operators between two Banach spaces, it is possible to extend the operators A(λ) by an identity operator IZ in such a way that the extended operator function A(·) ⊕ IZ is equivalent on Ω to a linear function of λ, T − λI.
Journal ArticleDOI
Efficient solution of linear systems of equations with recursive structure
TL;DR: In this article, a unified algorithm of order N2 for N×N matrices with recursive structure is presented. And several known algorithms as well as some new ones for Toeplitz type, Hilbert type, and Vandermonde type matrices are given.