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حرية الوصول المقاله
1 - On the Approximate Solving of Dual Fuzzy Matrix Equations
Mohammad Asghari-Larimi Parastoo Reihani Mohsen Asghari-Larimi Shahriar Farahmand Rad.In 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of th أکثرIn 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of this paper is to eliminate this technical flaw and also correct some numerical results obtained by Gong et al.. تفاصيل المقالة -
حرية الوصول المقاله
2 - New solution of fuzzy linear matrix equations
Mahmood OtadiIn this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presen أکثرIn this paper, a new method based on parametric form for approximate solu-tion of fuzzy linear matrix equations (FLMEs) of the form AX = B; where Ais a crisp matrix, B is a fuzzy number matrix and the unknown matrix X one,is presented. Then a numerical example is presented to illustrate the proposedmodel. تفاصيل المقالة -
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3 - معادله ماتریسی ریکاتی و کاربرد آن در مکانیک سازه‌ها
مهدی نوریدر این مقاله، معادله ی ماتریسی ریکاتی برای حل مسئله ی مقدار ویژه برای ماتریس های متقارن نسبت به هر دو قطر بکار رفته است. برای نیل به این منظور، از تبدیلات متشابه بر روی ماتریس هایی با خواص فوق و همچنین از معادله ی ماتریسی ریکاتی استفاده شده است. روند کار تجزیه ماتریس ها أکثردر این مقاله، معادله ی ماتریسی ریکاتی برای حل مسئله ی مقدار ویژه برای ماتریس های متقارن نسبت به هر دو قطر بکار رفته است. برای نیل به این منظور، از تبدیلات متشابه بر روی ماتریس هایی با خواص فوق و همچنین از معادله ی ماتریسی ریکاتی استفاده شده است. روند کار تجزیه ماتریس ها به ماتریس هایی با ابعاد کوچک برای محاسبه مقادیر و بردارهای ویژه متناظر می باشد. برای مطالعه کارایی این روش، مثال هایی عددی و سازه ای ارائه شده است. تفاصيل المقالة -
حرية الوصول المقاله
4 - A new Approximation to the solution of the linear matrix equation AXB = C
A. SadeghiIt is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homo أکثرIt is well-known that the matrix equations play a significant role in several applications in science and engineering. There are various approaches either direct methods or iterative methods to evaluate the solution of these equations. In this research article, the homotopy perturbation method (HPM) will employ to deduce the approximated solution of the linear matrix equation in the form AXB=C. Furthermore, the conditions will be explored to check the convergence of the homotopy series. Numerical examples are also adapted to illustrate the properties of the modified method. تفاصيل المقالة -
حرية الوصول المقاله
5 - On the square root of quadratic matrices
A. ZardadiHere we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2\times 2$ matrices.Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2\times 2$ matrices. تفاصيل المقالة -
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6 - An accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations
A‎. ‎M‎. ‎E‎. ‎ Bayoumi M. A. Ramadan M. Nili Ahmadabadi‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the p أکثر‎In this paper‎, ‎an accelerated gradient based iterative algorithm for solving systems of coupled generalized Sylvester-transpose matrix equations is proposed‎. ‎The convergence analysis of the algorithm is investigated‎. ‎We show that the proposed algorithm converges to the exact solution for any initial value under certain assumptions‎. ‎Finally‎, ‎some numerical examples are given to demonstrate the behavior of the proposed method and to support the theoretical results of this paper‎. تفاصيل المقالة -
حرية الوصول المقاله
7 - On the solving matrix equations by using the spectral representation
A. M. Nazari S. Mollaghasemi F. Bahmani‎The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation‎. ‎We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A‎, ‎X \in \mathbb{C}^{n \ti أکثر‎The purpose of this paper is to solve two types of Lyapunov equations and quadratic matrix equations by using the spectral representation‎. ‎We focus on solving Lyapunov equations $AX+XA^*=C$ and $AX+XA^{T}=-bb^{T}$ for $A‎, ‎X \in \mathbb{C}^{n \times n}$ and $b \in \mathbb{C} ^{n \times s}$ with $s < n$‎, ‎which $X$ is unknown matrix‎. ‎Also‎, ‎we suggest the new method for solving quadratic matrix equations $AX^{2}+BX+C=0$‎, ‎where $A‎, ‎B‎, ‎C‎, ‎X \in \mathbb{C}^{n \times n}$ and $X$ is unknown matrix with similar method‎. تفاصيل المقالة -
حرية الوصول المقاله
8 - Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$
A. Nazari Kh. Sayehvand M. RostamiIn this article we study Steffensen method to solve nonlinear matrix equation $X+A^T X^{(-1)}A=Q$,when $A$ is a normal matrix. We establish some conditionsthat generate a sequence of positive definite matrices which converges to solutionof this equation.In this article we study Steffensen method to solve nonlinear matrix equation $X+A^T X^{(-1)}A=Q$,when $A$ is a normal matrix. We establish some conditionsthat generate a sequence of positive definite matrices which converges to solutionof this equation. تفاصيل المقالة -
حرية الوصول المقاله
9 - Finding the solution of a nonlinear matrix problem by an inverse-free iteration scheme
Tayyebeh Nadaf Taher LotfiIn this work, an iterative method under the umbrella of inverse-free methods which do not rely on the calculation of the inverse matrix per loop is proposed for finding the maximal solution of a well-known nonlinear matrix equation (NME) in the form of Hermitian positiv أکثرIn this work, an iterative method under the umbrella of inverse-free methods which do not rely on the calculation of the inverse matrix per loop is proposed for finding the maximal solution of a well-known nonlinear matrix equation (NME) in the form of Hermitian positive definite (HPD) matrices. The computational of the minimal solution is discussed as well. The iterative scheme is constructed based on methods for finding generalized matrix inverse. We illustrate some estimations for obtaining the solution, and its convergence. To ensure its validity and usefulness, some experiments are run which reveal the superiority of the proposed method. تفاصيل المقالة -
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10 - ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
M. A. Fariborzi Araghi M. HosseinzadehThe main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equationThe main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation تفاصيل المقالة
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