The method of 'external spiral" for solving a large system of linear equations
Journal Title: Vojnotehnički glasnik - Year 2018, Vol 66, Issue 2
Abstract
Solving a linear system of n × n equations can be very difficult for the computer, especially if one needs the exact solution, even when the number n - of equations and of unknown variables is relatively small (a few thousands). All existing methods have to overcome at least one of the following problems: 1. Computational complexity, which is expressed with the number of arithmetic operations required in order to determine a solution; 2. The possibility of overflow and underflow problems; 3. Causing variations in the values of some coefficients in the initial system, which may be leading to instability of the solution; 4. Requiring additional conditions for convergence; 5. In cases of a large number of equations and unknown variables it is often required that the systems matrix be: either sparse, or symmetrical, or diagonal, etc. This paper presents a method for solving a system of linear equations of arbitrary order (any number of equations and unknown variables) to which the problems listed above do not reflect.
Authors and Affiliations
Aleksa Srdanov, Radiša Stefanović, Nada Ratković Kovačević, Aleksandra Jovanović, Dragan Milovanović
Keywords
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- EP ID EP302656
- DOI 10.5937/vojtehg66-14625
- Views 103
- Downloads 0
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