Solution of high order matrix Riccati equations with condition and accuracy estimates

2002 ◽  
Author(s):  
P.H. Petkov ◽  
N.D. Christov ◽  
M.M. Konstantinov
Keyword(s):  
Riccati Equations ◽  
High Order ◽  
Order Matrix

Reduction of a particular form of high-order matrix to quasidiagonal form

1970 ◽  
Vol 21 (3) ◽  
pp. 305-308
Author(s):  
M. Ya. Borodyanskii ◽  
V. D. Shumeiko
Keyword(s):  
High Order ◽  
Order Matrix

scholarly journals High-order matrix-free incompressible flow solvers with GPU acceleration and low-order refined preconditioners

2020 ◽  
Vol 203 ◽  
pp. 104541 ◽  
Author(s):  
Michael Franco ◽  
Jean-Sylvain Camier ◽  
Julian Andrej ◽  
Will Pazner
Keyword(s):  
Incompressible Flow ◽  
High Order ◽  
Gpu Acceleration ◽  
Order Matrix ◽  
Matrix Free ◽  
Low Order

Stability Boundaries of a Conservative Gyroscopic System

2003 ◽  
Vol 70 (4) ◽  
pp. 561-567
Author(s):  
G. M. L. Gladwell ◽  
M. M. Khonsari ◽  
Y. M. Ram
Keyword(s):  
Numerical Method ◽  
Matrix Pencil ◽  
High Order ◽  
Unstable State ◽  
Gyroscopic System ◽  
Stability Boundaries ◽  
Order Matrix ◽  
Angular Velocities ◽  
Critical Velocities

Depending on the speed of rotation, a gyroscopic system may lose or gain stability. The paper characterizes the critical angular velocities at which a conservative gyroscopic system may change from a stable to an unstable state, and vice versa, in terms of the eigenvalues of a high-order matrix pencil. A numerical method for evaluation of all possible candidates for such critical velocities is developed.

A new operational matrix method based on the Bernstein polynomials for solving the backward inverse heat conduction problems

2014 ◽  
Vol 24 (3) ◽  
pp. 669-678 ◽  
Author(s):  
Davood Rostamy ◽  
Kobra Karimi
Keyword(s):  
Heat Conduction ◽  
Collocation Method ◽  
Bernstein Polynomials ◽  
High Order ◽  
System Of Equations ◽  
Bernstein Basis ◽  
Content Type ◽  
Order Matrix ◽  
Ill Posed ◽  
Matrix Derivative

Purpose – The purpose of this paper is to introduce a novel approach based on the high-order matrix derivative of the Bernstein basis and collocation method and its employment to solve an interesting and ill-posed model in the heat conduction problems, homogeneous backward heat conduction problem (BHCP). Design/methodology/approach – By using the properties of the Bernstein polynomials the problems are reduced to an ill-conditioned linear system of equations. To overcome the unstability of the standard methods for solving the system of equations an efficient technique based on the Tikhonov regularization technique with GCV function method is used for solving the ill-condition system. Findings – The presented numerical results through table and figures demonstrate the validity and applicability and accuracy of the technique. Originality/value – A novel method based on the high-order matrix derivative of the Bernstein basis and collocation method is developed and well-used to obtain the numerical solutions of an interesting and ill-posed model in heat conduction problems, homogeneous BHCP with high accuracy.

scholarly journals On the computation of weighted Moore–Penrose inverse using a high-order matrix method

2013 ◽  
Vol 66 (11) ◽  
pp. 2344-2351 ◽  
Author(s):  
Ali R. Soheili ◽  
F. Soleymani ◽  
M.D. Petković
Keyword(s):  
Matrix Method ◽  
High Order ◽  
Order Matrix
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