Results 61 to 70 of about 2,914,259 (200)
Three New Proofs of the Theorem rank f(M) + rank g(M) = rank (f,g)(M) + rank [f,g](M)
MathematicsIt is well known that in C[X], the product of two polynomials is equal to the product of their greatest common divisor and their least common multiple. In a recent paper, we proved a similar relation between the ranks of matrix polynomials.
Vasile Pop, Alexandru Negrescu
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A Modified Vector Fitting Technique to Extract Coupling Matrix from S-parameters [PDF]
Radioengineering, 2023 In this paper, a modified vector fitting technique to extract coupling matrix from S-parameters is introduced. This work allows designers to extract the coupling matrix of different or any pre-defined topologies from the simulated or measured S-parameter
C. L. Ng +3 more
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Autocorrelation of Random Matrix Polynomials [PDF]
Communications in Mathematical Physics, 2003 We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in three equivalent forms: as a determinant sum (and hence in terms of symmetric polynomials), as a combinatorial sum,
Conrey, JB +4 more
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Matrix polynomials: Factorization via bisolvents
Linear Algebra and its Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cohen, Nir, Pereira, Edgar
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Some relations on Konhauser matrix polynomials
, 2016 . This paper deals with the study of the generalized hypergeometric matrix function and obtains some of its properties. We rephrase some results from the previous (earlier) works that will be used in this study.
A. Shehata
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On generalized bihyperbolic third-order Jacobsthal polynomials [PDF]
Mathematica BohemicaA new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A general Vajda formula for the generalized bihyperbolic third-order Jacobsthal polynomials is obtained ...
Gamaliel Cerda-Morales
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Finsler's Lemma for matrix polynomials
Linear Algebra and its Applications, 2015 23 pages, 2 figures ...
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On the sign characteristics of Hermitian matrix polynomials
, 2016 The sign characteristics of Hermitian matrix polynomials are discussed, and in particular an appropriate definition of the sign characteristics associated with the eigenvalue infinity.
V. Mehrmann +3 more
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Polynomial supersymmetry for matrix Hamiltonians [PDF]
Physics Letters A, 2013 9 ...
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On characteristic and permanent polynomials of a matrix
Special Matrices, 2017 There is a digraph corresponding to every square matrix over ℂ. We generate a recurrence relation using the Laplace expansion to calculate the characteristic and the permanent polynomials of a square matrix.
Singh Ranveer, Bapat R. B.
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