Results 41 to 50 of about 7,157,448 (338)

A general method for solving linear matrix equations of elliptic biquaternions with applications

AIMS Mathematics, 2020
In this study, we obtain the real representations of elliptic biquaternion matrices. Afterwards, with the aid of these representations, we develop a general method to solve the linear matrix equations over the elliptic biquaternion algebra. Also we apply
Kahraman Esen Özen
doaj   +1 more source

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
core   +1 more source

Spectral analysis of variable-order multi-terms fractional differential equations

Open Physics, 2023
In this work, a numerical scheme based on shifted Jacobi polynomials (SJPs) is deduced for variable-order fractional differential equations (FDEs). We find numerical solution of consider problem of fractional order. The proposed numerical scheme is based
Shah Kamal, Abdeljawad Thabet, Jeelani Mdi Begum, Alqudah Manar A.   +3 more
doaj   +1 more source

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
core   +1 more source

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
core   +3 more sources

A Robust Hermitian and Skew-Hermitian Based Multiplicative Splitting Iterative Method for the Continuous Sylvester Equation

Mathematics
For solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak, Abbas Abbaszadeh Shahri   +1 more
doaj   +1 more source

Least-squares Hermitian problem of complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$

Journal of Inequalities and Applications, 2016
In this paper, we present a direct method to solve the least-squares Hermitian problem of the complex matrix equation ( A X B , C X D ) = ( E , F ) $(AXB,CXD)=(E,F)$ with complex arbitrary coefficient matrices A, B, C, D and the right-hand side E, F ...
Peng Wang, Shifang Yuan, Xiangyun Xie
doaj   +1 more source

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
core   +1 more source

Exploring lipid diversity and minimalism to define membrane requirements for synthetic cells

FEBS Letters, EarlyView.
Designing the lipid membrane of synthetic cells is a complex task, in which its various roles (among them solute transport, membrane protein support, and self‐replication) should all be integrated. In this review, we report the latest top‐down and bottom‐up advances and discuss compatibility and complexity issues of current engineering approaches ...
Sergiy Gan, Victoria Scarpelli, Marten Exterkate   +2 more
wiley   +1 more source

A relation theoretic m-metric fixed point algorithm and related applications

AIMS Mathematics, 2023
In this article, we introduce the concept of generalized rational type $ F $ -contractions on relation theoretic m-metric spaces (denoted as $ F_{R}^{m} $-contractions, where $ R $ is a binary relation) and some related fixed point theorems are provided.
Muhammad Tariq, Muhammad Arshad, Mujahid Abbas, Eskandar Ameer , Saber Mansour, Hassen Aydi   +5 more
doaj   +1 more source