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Stochastic Canonical Equation K 45 for Normalized Spectral Functions of Random Matrices Pencil

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Theory of Stochastic Canonical Equations

Part of the book series: Mathematics and Its Applications ((MAIA,volume 535))

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Abstract

In the same manner as in the previous chapters, we consider n.s.f. of the roots of the characteristic equation det {ΞΞ* - zHH*} = 0, where Ξ and H are some random matrices of the same dimension. Under appropriate conditions, the system of stochastic canonical equations K 45 for the limit of the n.s.f. of the matrix ΞΞ*(HH)−1 is found.

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© 2001 Springer Science+Business Media Dordrecht

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Girko, V.L. (2001). Stochastic Canonical Equation K 45 for Normalized Spectral Functions of Random Matrices Pencil. In: Theory of Stochastic Canonical Equations. Mathematics and Its Applications, vol 535. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0989-8_45

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  • DOI: https://doi.org/10.1007/978-94-010-0989-8_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3882-9

  • Online ISBN: 978-94-010-0989-8

  • eBook Packages: Springer Book Archive

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