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Titlebook: Algebraic Multiplicity of Eigenvalues of Linear Operators; J. López-Gómez,C. Mora-Corral Book 2007 Birkhäuser Basel 2007 Eigenvalue.Matrix

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The Spectral Theorem for Matrix Polynomialsature. More precisely, the family . defined in (10.1) is said to be a matrix polynomial of order . and degree .. The main goal of this chapter is to obtain a spectral theorem for matrix polynomials, respecting the spirit of the Jordan Theorem 1.2.1.
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Jeremy W. Baxter,Graham S. Hornature. More precisely, the family . defined in (10.1) is said to be a matrix polynomial of order . and degree .. The main goal of this chapter is to obtain a spectral theorem for matrix polynomials, respecting the spirit of the Jordan Theorem 1.2.1.
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https://doi.org/10.1007/978-3-663-09573-6This chapter describes an equivalent approach to the concept of multiplicity . introduced in Chapter 4; in this occasion by means of an appropriate polynomial factorization of . at .. However, at first glance these approaches are seemingly completely different.
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https://doi.org/10.1007/11683704The stability results of Section 8.4 can be regarded as infinite-dimensional versions of the classic Rouché theorem. A closely related topic in complex function theory is the so-called ., otherwise known as the ., which has been established by Theorem 3.4.1 (for classical families) and Corollary 6.5.2 in a finite-dimensional setting.
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