Results 31 to 40 of about 168,425,485 (295)

On application of Cramer’s rule

Lietuvos Matematikos Rinkinys, 2011
The article analyses a possibility of modification of Cramer’s rule. The modified formulas for the solution of a system of linear equations, with application of which the volume of calculation reduces, are suggested.
Antanas Apynis
doaj   +1 more source

An Iterative Algorithm for the Reflexive Solution of the General Coupled Matrix Equations

The Scientific World Journal, 2013
The general coupled matrix equations (including the generalized coupled Sylvester matrix equations as special cases) have numerous applications in control and system theory.
Zhongli Zhou, Guangxin Huang
doaj   +1 more source

Non-stochastic matrix Schrödinger equation for open systems [PDF]

The Journal of Chemical Physics, 2014
We propose an extension of the Schrödinger equation for a quantum system interacting with environment. This extension describes dynamics of a collection of auxiliary wavefunctions organized as a matrix m, from which the system density matrix can be reconstructed as \documentclass[12pt]{minimal}\begin{document}$\hat{\rho }= {\bm m} {\bm m}^\dagger$\end ...
Loïc Joubert-Doriol, Ilya G. Ryabinkin, Artur F. Izmaylov   +2 more
openaire   +3 more sources

On solving periodic Riccati equations [PDF]

, 2008
Numerically reliable algorithms to compute the periodic non-negative definite stabilizing solutions of the periodic differential Riccati equation (PRDE) and discrete-time periodic Riccati equation (DPRE) are proposed. For the numerical solution of PRDEs,
A. Varga, Varga, Andreas
core   +1 more source

Algorithm for Calculating Statically Indeterminate Trusses Using the Force Method

Structural Mechanics of Engineering Constructions and Buildings
The study focuses on developing an algorithm for calculating statically indeterminate trusses using the force method. The main challenge in algorithmizing the force method lies in obtaining the solution to the homogeneous equilibrium equations, which is ...
Vladimir V. Lalin, Timur R. Ibragimov
doaj   +1 more source

ON ONE NONLINEAR INTEGRABLE MODEL OF WAVE INTERACTION

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. In this work, the functional method is applied to a first-order matrix system and the corresponding equations of wave dynamics are derived.
V. M. Zhuravlev
doaj   +1 more source

A New Operational Matrix of Fractional Derivatives to Solve Systems of Fractional Differential Equations via Legendre Wavelets

Mathematics, 2018
This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM).
Aydin Secer, Selvi Altun
doaj   +1 more source

Degradation mechanism of the von Willebrand factor A2 domain by nattokinase

FEBS Letters, EarlyView.
Nattokinase, a natto‐derived protease, exhibits potent antithrombotic effects. This study demonstrates that nattokinase directly cleaves the von Willebrand factor (vWF) A2 domain in vitro. Unlike the native regulator ADAMTS13, nattokinase degrades folded vWF independently of shear stress.
Ryuichi Hyakumoto, Masatomo So, Ayako Furukawa, Kenji Sugase   +3 more
wiley   +1 more source

Computation of least order solutions of linear rational equations [PDF]

, 2004
We propose a numerically reliable approach for computing solutions of least McMillan order of linear equations with rational matrix coefficients. The main computational ingredients are the orthogonal reduction of the associated system matrix pencil to a ...
A. Varga, Varga, Andras
core  

Solving Systems of Linear Equations Based on Approximation Solution Projection Analysis

Applied Computer Systems, 2021
The paper considers an iterative method for solving systems of linear equations (SLE), which applies multiple displacement of the approximation solution point in the direction of the final solution, simultaneously reducing the entire residual of the ...
Lavendels Jurijs
doaj   +1 more source