Symbolic algorithm for solving comrade linear systems based on a modified Stair-Diagonal Approach

نویسنده

  • A. A. Karawia
چکیده

Recently, new approach called Stair-Diagonal used for solving a tridiagonal system by Jawad[A. J. Jawad and et.al., Solving a Tri-Diagonal System of Size N Equations by Stair-Diagonal Approach, Adv. Sci. Eng. Med. , 4(2012) 171-175]. In this paper, we developed a Stair-Diagonal Approach in order to remove the cases where the Stair-Diagonal Approach fails. Also, we describe a symbolic computational algorithm for solving comrade linear systems based on modified Stair-Diagonal Approach. The computational cost of our algorithm is O(n). The algorithm is implementable to the Computer Algebra System (CAS) such as MAPLE, MATLAB and MATHEMATICA. Three examples are presented for the sake of illustration.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Two algorithms for solving comrade linear systems

In this paper, we present an efficient computational and symbolic algorithms for solving comrade linear systems. The implementation of the algorithms using Computer Algebra Systems (CAS) such as MAPLE, MACSYMA, MATHEMATICA, and MATLAB is straightforward. An examples are given in order to illustrate the algorithms. 2006 Elsevier Inc. All rights reserved.

متن کامل

GENERALIZED FLEXIBILITY-BASED MODEL UPDATING APPROACH VIA DEMOCRATIC PARTICLE SWARM OPTIMIZATION ALGORITHM FOR STRUCTURAL DAMAGE PROGNOSIS

This paper presents a new model updating approach for structural damage localization and quantification. Based on the Modal Assurance Criterion (MAC), a new damage-sensitive cost function is introduced by employing the main diagonal and anti-diagonal members of the calculated Generalized Flexibility Matrix (GFM) for the monitored structure and its analytical model. Then, ...

متن کامل

Modified FGP approach and MATLAB program for solving multi-level linear fractional programming problems

In this paper, we present modified fuzzy goal programming (FGP) approach and generalized MATLAB program for solving multi-level linear fractional programming problems (ML-LFPPs) based on with some major modifications in earlier FGP algorithms. In proposed modified FGP approach, solution preferences by the decision makers at each level are not considered and fuzzy goal for the decision vectors i...

متن کامل

Presentation and Solving Non-Linear Quad-Level Programming Problem Utilizing a Heuristic Approach Based on Taylor Theorem

The multi-level programming problems are attractive for many researchers because of their application in several areas such as economic, traffic, finance, management, transportation, information technology, engineering and so on. It has been proven that even the general bi-level programming problem is an NP-hard problem, so the multi-level problems are practical and complicated problems therefo...

متن کامل

A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming

Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Appl. Math. Lett.

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2013