Results 271 to 280 of about 3,935,292 (310)

Identities of matrix powers of a matrix and matrix power of matrix on lie groups

World Journal of Advanced Engineering Technology and Sciences
This paper introduces fundamental definitions pertaining to Matrix Lie Groups and Lie Algebra. We illustrate the concepts of the exponential of a matrix and the logarithm of a matrix as integral components of our discourse. We introduce novel identities related to the matrix powers of a matrix.
null K. K. W. A. S. Kumara, null G. Nandasena   +1 more
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Acousto-optic matrix–matrix multiplier

Optics Letters, 1988
A new architecture for an optical matrix-matrix multiplier is presented. It is based on the beam-modulation and Its parallel structure makes it very fast. Some physical limitations are discussed.
D S, Kalivas, G, Albanese, A A, Sawchuk
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Application of Matrix Decompositions for Matrix Canonization

Computational Mathematics and Mathematical Physics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Volkov V., Dem’yanov D.
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Matrix completion by deep matrix factorization

Neural Networks, 2018
Conventional methods of matrix completion are linear methods that are not effective in handling data of nonlinear structures. Recently a few researchers attempted to incorporate nonlinear techniques into matrix completion but there still exists considerable limitations.
Jicong Fan 0001, Jieyu Cheng
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Photorefractive parallel matrix–matrix multiplier

Optics Letters, 1991
We demonstrate the operation of a parallel matrix-matrix multiplier that uses a photorefractive crystal in conjunction with an array of mutually incoherent laser sources. A complex set of gratings is written in parallel with the aid of the mutually incoherent laser source array whose spatial modulation is the desired matrix-matrix product.
J, Hong, P, Yeh
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Matrix Isomorphism of Matrix Lie Algebras

2012 IEEE 27th Conference on Computational Complexity, 2012
We study the problem of matrix isomorphism of matrix Lie algebras (MatIsoLie). Lie algebras arise centrally in areas as diverse as differential equations, particle physics, group theory, and the Mulmuley -- Sohoni Geometric Complexity Theory program. A matrix Lie algebra is a set L of matrices that is closed under linear combinations and the operation [
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Fast Matrix Embedding by Matrix Extending

IEEE Transactions on Information Forensics and Security, 2012
When designing steganographic schemes, matrix embedding is an efficient method for increasing the embedding efficiency that is de- fined as an average number of bits embedded via per change on the cover. Random linear code-based matrix embedding can achieve high embedding efficiency but cost much in computation.
Chao Wang, Weiming Zhang 0001, Jiufen Liu, Nenghai Yu   +3 more
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The derivative of the Riccati matrix with respect to a matrix

IEEE Transactions on Automatic Control, 1977
The derivative of the solution of the Riccati matrix differential equation is described in this correspondence. Extensive use is made of the calculus of Vetter [8] and the formula for the derivative of the exponential matrix [5]. Additionally the differentiation of partitioned matrices and the differentiation with respect to a symmetric matrix are ...
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Matrix sparsification for coded matrix multiplication

2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2017
Coded computation is a framework for providing redundancy in distributed computing systems to make them robust to slower nodes, or stragglers. In a recent work of Lee et al., the authors propose a coded computation scheme for distributedly computing A x x in the presence of stragglers. The proposed algorithm first encodes the data matrix A to obtain an
Geewon Suh, Kangwook Lee 0001, Changho Suh   +2 more
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From the matrix-geometric to the matrix-exponential

Queueing Systems, 1990
The paper is concerned with the single server queues N/G/1 and GI/NI/1, respectively, in which the arrival process or the service process is a Neuts process, and derives the matrix-exponential forms of the solution of relevant nonlinear matrix equations for such queues. It generalises the matrix-exponential results of \textit{B. Sengupta} [Adv.
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