Results 11 to 20 of about 451,101 (295)
Generalized Matrix Nearness Problems
18 pages, 2 ...
Li, Zihao, Lim, Lek-Heng
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Generalized topological transition matrix [PDF]
This article represents a major step in the unification of the theory of algebraic, topological and singular transition matrices by introducing a definition which is a generalization that encompasses all of the previous three. When this more general transition matrix satisfies the additional requirement that it covers flow-defined Conley-index ...
Franzosa, Robert +2 more
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THE GENERALIZED PASCAL MATRIX VIA THE GENERALIZED FIBONACCI MATRIX AND THE GENERALIZED PELL MATRIX [PDF]
In [4], the authors studied the Pascal matrix and the Stirling matrices of the first kind and the second kind via the Fibonacci matrix. In this paper, we consider generalizations of Pascal matrix, Fibonacci matrix and Pell matrix. And, by using Riordan method, we have factorizations of them. We, also, consider some combinatorial identities.
Gwang-Yeon Lee, Seong-Hoon Cho
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Generalized Matrix Mechanics [PDF]
We propose a generalization of Heisenbergs' matrix mechanics based on many-index objects. It is shown that there exists a solution describing a harmonic oscillator and many-index objects lead to a generalization of spin algebra.
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The generalized Lilbert matrix
We introduce a generalized Lilbert [Lucas-Hilbert] matrix. Explicit formul' are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm.
Kılıç, Emrah, Prodinger, Helmut
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Generalized Separable Nonnegative Matrix Factorization [PDF]
31 pages, 12 figures, 4 tables. We have added discussions about the identifiability of the model, we have modified the first synthetic experiment, we have clarified some aspects of the ...
Pan, Junjun, Gillis, Nicolas
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Further Progress on the GM-MDS Conjecture for Reed-Solomon Codes [PDF]
Designing good error correcting codes whose generator matrix has a support constraint, i.e., one for which only certain entries of the generator matrix are allowed to be non-zero, has found many recent applications, including in distributed coding and ...
Hassibi, Babak, Yildiz, Hikmet
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Generalized Matrix Algebras [PDF]
The algebras considered here arose in the investigation of an algebra connected with the orthogonal group. We consider an algebra of dimension mn over a field K of characteristic zero, and possessing a basis {eij} (1 ≤ i ≤ m; 1 ≤ j ≤ n) with the multiplication property1,The field elements ϕij form a matrix Φ = (ϕij) of order n × m.
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Choosing Markovian Credit Migration Matrices by Nonlinear Optimization
Transition matrices, containing credit risk information in the form of ratings based on discrete observations, are published annually by rating agencies.
Maximilian Hughes, Ralf Werner
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Asymptotic internal model based coordination of a flywheel energy storage matrix system
This paper considers a dual objective distributed coordination problem for a flywheel energy storage matrix system. On one hand, the power output of the entire flywheel energy storage matrix system should track its reference command, which is generated ...
He Cai
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