Results 11 to 20 of about 221,321 (318)
AIMS Mathematics, 2022 In this paper, we propose a real vector representation of reduced quaternion matrix and study its properties. By using this real vector representation, Moore-Penrose inverse, and semi-tensor product of matrices, we study some kinds of solutions of ...
Wenxv Ding +3 more
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H-representation method for solving reduced biquaternion matrix equation
Mathematical Modelling and Control, 2022 In this paper, we study the Hankel and Toeplitz solutions of reduced biquaternion matrix equation (1.1). Using semi-tensor product of matrices, the reduced biquaternion matrix equation (1.1) can be transformed into a general matrix equation of the form ...
Xueling Fan +3 more
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Physical Review Letters, 2021 Inspired by holographic codes and tensor-network decoders, we introduce tensor-network stabilizer codes which come with a natural tensor-network decoder. These codes can correspond to any geometry, but, as a special case, we generalize holographic codes beyond those constructed from perfect or block-perfect isometries, and we give an example that ...
Terry Farrelly +3 more
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AIMS Mathematics, 2022 In this paper, we propose an efficient method for some special solutions of the quaternion matrix equation AXB+CYD=E. By integrating real representation of a quaternion matrix with H-representation, we investigate the minimal norm least squares solution ...
Anli Wei +3 more
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Tensor-on-Tensor Regression [PDF]
Journal of Computational and Graphical Statistics, 2018 We propose a framework for the linear prediction of a multi-way array (i.e., a tensor) from another multi-way array of arbitrary dimension, using the contracted tensor product. This framework generalizes several existing approaches, including methods to predict a scalar outcome from a tensor, a matrix from a matrix, or a tensor from a scalar.
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2017 In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
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The effect of magnetic field concentration in anisotropic metamagnetic media
Технічна інженерія, 2022 The peculiarities of magnetic field propagation in a rectangular plate made of anisotropic material by the coefficient of magnetic permeability are considered.
А.А. , M.Ya. , D.O.
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Tensor factorization via transformed tensor-tensor product for image alignment
Numerical Algorithms, 2023 In this paper, we study the problem of a batch of linearly correlated image alignment, where the observed images are deformed by some unknown domain transformations, and corrupted by additive Gaussian noise and sparse noise simultaneously. By stacking these images as the frontal slices of a third-order tensor, we propose to utilize the tensor ...
Xia, Sijia, Qiu, Duo, Zhang, Xiongjun
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Threshold Analysis of Request Degradation in the Computer Network
Моделирование и анализ информационных систем, 2019 In this paper, the existing approaches to the assessment of computer networks performance are considered. The standard structure of a network of the application layer of the OSI model using the example of SBIS3 application (product of Tensor Company) is ...
Vasilii P. Kirnos
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Proceedings of the Edinburgh Mathematical Society, 1957 A form of integration of tensors will be introduced here, which will preserve the character of a tensor when so integrated.
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