Results 31 to 40 of about 2,188,246 (287)

Kronecker product of matrices and solutions of Sylvestertype matrix polynomial equations

Математичні Студії
We investigate the solutions of the Sylvester-type matrix polynomial equation $$A(\lambda)X(\lambda)+Y(\lambda)B(\lambda)=C(\lambda),$$ where\ $A(\lambda),$ \ $ B(\lambda),$\ and \ $C(\lambda)$ are the polynomial matrices with elements in a ring of ...
N. S. Dzhaliuk, V. M. Petrychkovych
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Matrix Inequality for the Laplace Equation

, 2017
Since Li and Yau obtained the gradient estimate for the heat equation, related estimates have been extensively studied. With additional curvature assumptions, matrix estimates that generalize such estimates have been discovered for various time-dependent
Park, Jiewon
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Field Equations of Massless Fields in the New Interpretation of the Matrix Model [PDF]

, 2006
Recently, some of the authors have introduced a new interpretation of matrix models in which covariant derivatives on any curved space can be expressed by large-N matrices.
Aoyama, Azuma, Banks, Berenstein, Bonelli, Braaten, Hammond, Hanada, Hanada, Hehl, Hikaru Kawai, Ishibashi, Iso, Jatkar, Ko Furuta, Masanori Hanada, Myers, Saitou, Scherk, Yusuke Kimura   +19 more
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Novel Bäcklund Transformations for Integrable Equations

Mathematics, 2022
In this paper, we construct a new matrix partial differential equation having a structure and properties which mirror those of a matrix fourth Painlevé equation recently derived by the current authors.
Pilar Ruiz Gordoa, Andrew Pickering
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A new extended matrix KP hierarchy and its solutions

, 2010
With the square eigenfunctions symmetry constraint, we introduce a new extended matrix KP hierarchy and its Lax representation from the matrix KP hierarchy by adding a new $\tau_B$ flow.
A. I. Zenchuk, A. Kundu, A. L. Sakhnovich, C. Schiebold, E. Date, J. Hu, L. Dickey, M. Sato, S. Shen, T. Xiao, V. K. Mel’nikov, V. K. Mel’nikov, V. K. Mel’nikov, W. Oevel, X. J. Liu, X. Liu, Xiaojun Liu, Yehui Huang, Yi. Cheng, Yunbo Zeng, Yuqin Yao   +20 more
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Variational solution of the T-matrix integral equation [PDF]

, 2005
We present a variational solution of the T-matrix integral equation within a local approximation. This solution provides a simple form for the T matrix similar to Hubbard models but with the local interaction depending on momentum and frequency.
A. L. Fetter, A. Schindlmayr, E. V. Chulkov, F. Aryasetiawan, G. D. Mahan, G. D. Mahan, I. A. Nechaev, J. C. Inkson, J. Hubbard, K. Schturm, M. Hindgren   +10 more
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Matrix equation representation of the convolution equation and its unique solvability

Special Matrices
We consider the convolution equation F*X=BF* X=B, where F∈R3×3F\in {{\mathbb{R}}}^{3\times 3} and B∈Rm×nB\in {{\mathbb{R}}}^{m\times n} are given and X∈Rm×nX\in {{\mathbb{R}}}^{m\times n} is to be determined. The convolution equation can be regarded as a
Satake Yuki, Sogabe Tomohiro, Kemmochi Tomoya, Zhang Shao-Liang   +3 more
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Solution to Several Split Quaternion Matrix Equations

Mathematics
Split quaternions have various applications in mathematics, computer graphics, robotics, physics, and so on. In this paper, two useful, real representations of a split quaternion matrix are proposed. Based on this, we derive their fundamental properties.
Xin Liu, Tong Shi, Yang Zhang
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Exact solutions to the modified Korteweg-de Vries equation

, 2010
A formula for certain exact solutions to the modified Korteweg-de Vries (mKdV) equation is obtained via the inverse scattering transform method. The kernel of the relevant Marchenko integral equation is written with the help of matrix exponentials as ...
Demontis, Francesco
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Matrix Theory Description of Schwarzschild Black Holes in the Regime N >> S [PDF]

, 1998
We study the description of Schwarzschild black holes, of entropy S, within matrix theory in the regime $N \ge S \gg 1$. We obtain the most general matrix theory equation of state by requiring that black holes admit a description within this theory.
A. A. Bytsenko, A. Hanany, A. Sen, A. Strominger, A. Strumia, B. Harms, E. Alvarez, F. Englert, G. T. Horowitz, G. T. Horowitz, H. Liu, I. R. Klebanov, I. R. Klebanov, I. R. Klebanov, J. Dethlefsen, J. M. Maldacena, M. Li, N. Seiberg, R. Argurio, R. C. Myers, R. Gregory, S. Fubini, S. Gukov, S. Kalyana Rama, S. R. Das, S. R. Das, T. Banks, T. Banks, T. Banks, T. Banks, T. Banks   +30 more
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