Results 11 to 20 of about 3,138,968 (195)

On a matrix KdV6 equation [PDF]

open access: yesCommunications in Nonlinear Science and Numerical Simulation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pilar R. Gordoa   +2 more
openaire   +5 more sources

On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

open access: yes, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
core   +5 more sources

On tau functions for orthogonal polynomials and matrix models. [PDF]

open access: yes, 2010
Let v be a real polynomial of even degree, and let \rho be the equilibrium probability measure for v with support S; to that v(x) greeater than or equal to \int 2log |x-y| \rho (dy) +C for some constant C with equality on S.
Gordon Blower, Blower, Gordon
core   +5 more sources

Riccati matrix differential equation and the discrete order preserving property [PDF]

open access: yes, 2023
summary:In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential ...
Štoudková Růžičková, Viera
core   +1 more source

Constrained Matrix Sylvester Equations [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 1992
Etant données les matrices \(A(n\times n)\), \(B(n\times p)\), \(C(m\times n)\), \(F((n-m)\times (n-u))\), le problème est de déterminer les matrices \(L((n-m)\times m)\) et \(T((u-m)\times n)\) telles que \(TA-FT=LC\) et \(TB=0\). Les A. établissent des conditions d'existence des solutions ainsi qu'un algorithme de calcul.
Jewel B. Barlow   +2 more
openaire   +1 more source

Characterization of solutions of the discrete-time algebraic Riccati equation based on quadratic difference forms [PDF]

open access: yes, 2006
This paper is concerned with a characterization of all symmetric solutions to the discrete-time algebraic Riccati equation (DARE). Dissipation theory and quadratic difference forms from the behavioral approach play a central role in this paper. Along the
Osamu Kaneko   +7 more
core   +2 more sources

A Binomial-like Matrix Equation [PDF]

open access: yesThe American Mathematical Monthly, 2012
We show that a pair of matrices satisfying a certain algebraic identity, reminiscent of the binomial theorem, must have the same characteristic polynomial. This is a generalization of Problem 4 (11th grade) from the Romanian National Mathematical Olympiad 2011.
Bostan, Alin, Combot, Thierry
openaire   +2 more sources

Equivalent resistance of irregular 3 × n Hammock resistor network

open access: yesNantong Daxue xuebao. Ziran kexue ban, 2022
The equivalent resistance of a kind of irregular 3 × n Hammock resistor network is studied by the RT-I theory, in which the third order matrix equation and the third order boundary condition equation are established by Kirchhoff′s law and the branch ...
TAN Zhizhong
doaj   +1 more source

A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2019
We propose a new preconditioned global conjugate gradient (PGL-CG) method for the solution of matrix equation AXB = C, where A and B are sparse Stieltjes matrices. The preconditioner is based on the support graph preconditioners.
K. Rezaei, F. Rahbarnia, F. Toutounian
doaj   +1 more source

Solvability of Matrix-Exponential Equations [PDF]

open access: yesProceedings of the 31st Annual ACM/IEEE Symposium on Logic in Computer Science, 2016
Accepted to LICS ...
Joël Ouaknine   +3 more
openaire   +6 more sources

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