Results 41 to 50 of about 3,138,968 (195)

On Airy Solutions of the Second Painleve Equation [PDF]

, 2016
In this paper, we discuss Airy solutions of the second Painleve equation and two related equations, the Painleve XXXIV equation and the Jimbo-Miwa-Okamoto sigma form of second Painleve equation, are discussed.
Clarkson, Peter
core   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Quivers and Matrix Equations

Linear Algebra and its Applications, 1995
In this clearly written paper, the author shows how to reduce each of the matrix equations \(AXB = C\) and \(AX - YB = C\) to a canonical form in which the solutions are evident. He goes on to explain the genesis of these canonical forms in the representation theory of quivers corresponding to the Dynkin diagrams of types \(A_3\) and \(A_4\).
openaire   +1 more source

Matrix lattice Boltzmann reloaded [PDF]

, 2011
The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational fluid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new ...
Asinari, P., Pietro Asinari, Asinari, Pietro, Karlin, I., Ilya Karlin, Sauro Succi, Succi, S., Karlin, Iliya, Succi S., Karlin I., Succi, Sauro, Karlin, I.V.   +11 more
core   +1 more source

matrix-toolbox/CHM_scripts: Sinkhorn Algorithm

, 2023
Several CHM matrices (M-scripts) obtained by the Sinkhorn Algorithm are ...
matrix-toolbox
core   +1 more source

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
doaj   +1 more source

Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation

Results in Physics, 2023
The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
doaj   +1 more source

Spectral Forecast equation for matrices

, 2022
A more complex example that uses the spectral forecast equation is related to matrices. A question that can be asked this time would be: given two matrices A and B, what would a third matrix (M) look like if it must resemble both A and B in a certain ...
Paul A. Gagniuc (1818325)
core   +1 more source

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