International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

Impact Factor (2025): 6.9

DOI Prefix: 10.47001/IRJIET

LU Factorization using Java Programming: Solving Systems of Linear Equation

Abstract

The purpose of this thesis is to contribute a GUI program that assist in solving LU Factorization efficiently and easier than manual computing using JavaScript. Generally, the LU factorization is the most efficient technique for solving linear equation with 3 or more variables as this method is significantly present in matrix factorization in Numerical analysis and linear algebra.  With this program, it enables an individual to solve from 2x2 up to 10x10 dimension. Thus, contributing to the accuracy and facilely of the computation.

Country : Philippines

1 Jasper S.L. Ipapo2 Froilan E. De Guzman3 Jason Roi L. Lapuz

  1. Faculty, University of the East, Caloocan City, Philippines
  2. Faculty, University of the East, Caloocan City, Philippines
  3. Student, University of the East, Caloocan City, Philippines

IRJIET, Volume 2, Issue 8, October 2018 pp. 8-10

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References

  1. Dureisseix, D.  “Generalized fraction-free LU factorization for singular systems with kernel extraction” Linear Algebra and its Applications. Elsevier, 2015.
  2. Demmel, J,Higham, N. and Schreiber, R. “Stability of Block L U Factorization,” Numerical Linear Algebra with Applications, Vol. 2, 173-190. 1995
  3. Abdulraheem MZ and Mohammad K, “LU-Decomposition Computerized Method to Solve Linear Programming Problems,” Journal of Applied and Computational Mathematics, 2018.
  4. Kurzak, J., Luszczek, P., Faverge, M., and Dongarra, J., “LU Factorization with Partial Pivoting for a Multi-CPU, Multi-GPU Shared Memory System,” LAPACK Working Note 266.
  5. Tabane, K., “Additive-form Iterative Refinement of LU Factorization of an Ill-Conditioned Matrix,” International Symposium on Nonlinear Theory and its Application.,Oct. 2005.

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