Results 41 to 50 of about 10,135,412 (297)
Multiplicative chaos and the characteristic polynomial of the CUE: The 𝐿¹-phase [PDF]
Transactions of the American Mathematical Society, 2018 In this article we prove that suitable positive powers of the absolute value of the characteristic polynomial of a Haar distributed random unitary matrix converge in law, as the size of the matrix tends to infinity, to a Gaussian multiplicative chaos ...
Miika Nikula, E. Saksman, Christian Webb
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On Polynomial Values of the Discriminants of Characteristic Polynomials
Journal of Number Theory, 1996 For a square matrix \(A\), denote by \({\mathcal D} (A)\) the discriminant of its monic characteristic polynomial. Under some necessary conditions imposed on \(A\) and \(f\), \textit{J. G. Grytczuk} [Discuss. Math. 12, 45-51 (1992; Zbl 0787.11004)] showed that if \(A\) is a \(2\times 2\)-matrix with entries in \({\mathbb{Z}}\) and if \(f(X)\) is a ...
Brindza, B, Pintér, Á, Végső, J
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On the moments of the characteristic polynomial of a Ginibre random matrix [PDF]
Proceedings of the London Mathematical Society, 2017 In this article, we study the large N asymptotics of complex moments of the absolute value of the characteristic polynomial of an N×N complex Ginibre random matrix with the characteristic polynomial evaluated at a point in the unit disk.
Christian Webb, M. Wong
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Bifurcation of the roots of the characteristic polynomial and the destabilization paradox in friction induced oscillations [PDF]
Theoretical and Applied Mechanics, 2007 Paradoxical effect of small dissipative and gyroscopic forces on the stability of a linear non-conservative system, which manifests itself through the unpredictable at first sight behavior of the critical non-conservative load, is studied.
Kirillov O.N.
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On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix [PDF]
Mathematics of Computation, 2018 For $e$ a positive integer, we find restrictions modulo $2^e$ on the coefficients of the characteristic polynomial $\chi_S(x)$ of a Seidel matrix $S$. We show that, for a Seidel matrix of order $n$ even (resp. odd), there are at most $2^{\binom{e-2}{2}}$
Gary R. W. Greaves, Pavlo Yatsyna
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The characteristic polynomial of the monodromy [PDF]
Pacific Journal of Mathematics, 1975 This paper contains miscellaneous results about the monodromy of a singularity of an algebraic curve f(zOt zj9 particularly its characteristic polynomial, and its relation to branched cyclic covers of the link of the singularity.
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Solving Fuzzy Polynomial Equations Systems Using Wu’s Method [PDF]
پژوهشهای نظری و کاربردی هوش ماشینیIn this paper, we introduce a method grounded in Wu’s algorithm for determining real solutions of systems of fuzzy polynomial equations. We initially calculate the r-cuts of a fuzzy polynomial equations system and derive a parametric representation for ...
Hamed Farahani
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Roots of Characteristic Polynomial Sequences in Iterative Block Cyclic Reductions
Mathematics, 2021 The block cyclic reduction method is a finite-step direct method used for solving linear systems with block tridiagonal coefficient matrices. It iteratively uses transformations to reduce the number of non-zero blocks in coefficient matrices.
Masato Shinjo +3 more
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Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2020 Complex eigenvalue analysis has generally been applied to squeal improvement of automotive brake systems in recent years. Discrimination of the occurrence of unstable vibration by modal coupling has become common in brake design.
Hayuru INOUE, Takayoshi KAMADA
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Gridding discretization-based multiple stability switching delay search algorithm: The movement of a human being on a controlled swaying bow. [PDF]
PLoS ONE, 2017 Delay represents a significant phenomenon in the dynamics of many human-related systems-including biological ones. It has i.a. a decisive impact on system stability, and the study of this influence is often mathematically demanding. This paper presents a
Libor Pekař +2 more
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