Results 21 to 30 of about 440,251 (233)
Novel sparse OBC based distributed arithmetic architecture for matrix transforms [PDF]
, 2007 Inner product (IP) forms the basis of a number of signal processing algorithms and applications such as transforms, filters, communication systems etc. Distributed arithmetic (DA) provides an effective methodology to implement IP of vectors and matrices ...
Amira, A, Chandrasekaran, S
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Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels
, 2020 We obtain several analogs of real polar decomposition for even dimensional matrices. In particular, we decompose a non-degenerate matrix as a product of a Hamiltonian and an anti-symplectic matrix and under additional requirements we decompose a matrix ...
Teretenkov, A. E.
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African Vision and Eye Health, 2007 The first-order optical nature of an optical system (including an eye) is completely characterized by a 55 × matrix called the ray transference.
J. R. Cardoso
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Barekeng, 2023 The commutation matrix is a matrix that transforms any vec matrix , to vec transpose . In this article, three definitions of the commutation matrix are presented in different ways. It is shown that these three definitions are equivalent.
Yanita Yanita, Lyra Yulianti
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Neutrino mixing in Seesaw model [PDF]
, 1999 We study the neutrino mixing matrix (the MNS matrix) in the seesaw model. By assuming a large mass hierarchy for the heavy right-handed Majorana mass, we show that, in the diagonal Majorana base, the MNS matrix is determined by a unitary matrix, $S ...
Hashida, J., Morozumi, T., Purwanto, A.
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An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core +3 more sources
Inverses of matrices and matrix-transformations [PDF]
Proceedings of the American Mathematical Society, 1955 The first author wishes to acknowledge with gratitude many instructive consultations with J. A. Schatz, and correspondence with M. S. MacPhail. Let A = (ank), n, k = 1, 2, , be a matrix of complex numbers. Let D be the set (linear sequence space) of sequences x = { x, } such that y =Ax is defined; y being the sequence {yn }I, where Yn = EkankXk for ...
Wilansky, Albert, Zeller, Karl
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Ratios of characteristic polynomials in complex matrix models [PDF]
, 2004 We compute correlation functions of inverse powers and ratios of characteristic polynomials for random matrix models with complex eigenvalues. Compact expressions are given in terms of orthogonal polynomials in the complex plane as well as their Cauchy ...
A Pottier +8 more
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Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers
Journal of Mathematics, 2023 In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
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Implementing Gauss's law in Yang-Mills theory and QCD [PDF]
, 1995 We construct a transformation that transforms perturbative states into states that implement Gauss's law for `pure gluonic' Yang-Mills theory and QCD. The fact that this transformation is not and cannot be unitary has special significance.
Fermi +11 more
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