Proposing a Developed Gram-Schmidt Algorithm to Construct Orthogonal Unit Vectors

Volume 7, Issue 1, pp 41--47 http://dx.doi.org/10.22436/mns.07.01.04
Publication Date: August 08, 2022 Submission Date: July 13, 2021 Revision Date: October 16, 2021 Accteptance Date: November 01, 2021

Authors

H. Jafari - Young Researchers and Elite Club, Arak Branch, Islamic Azad University, Arak, Iran. K. Salehi - Department of Industrial Engineering, Aliabad Katoul Branch, , Islamic Azad University , Aliabad Katoul, Iran. A. Etebari - Department of Industrial Engineering, Aliabad Katoul Branch, Islamic Azad University , Aliabad Katoul, Iran.


Abstract

The Gram-Schmidt method is among the most well-known approaches for the orthogonalization of vectors; however, the accuracy of this algorithm might decline when it is implemented on large-scale vectors. This paper proposes a Developed Gram-Schmidt Algorithm (DGSA). The Schmidt vectors obtained from the proposed algorithm are prone to a lower error rate than those resulting from the Gram-Schmidt algorithm.


Share and Cite

  • Share on Facebook
  • Share on Twitter
  • Share on LinkedIn
ISRP Style

H. Jafari, K. Salehi, A. Etebari, Proposing a Developed Gram-Schmidt Algorithm to Construct Orthogonal Unit Vectors, Mathematics in Natural Science, 7 (2021), no. 1, 41--47

AMA Style

Jafari H., Salehi K., Etebari A., Proposing a Developed Gram-Schmidt Algorithm to Construct Orthogonal Unit Vectors. Math. Nat. Sci. (2021); 7(1):41--47

Chicago/Turabian Style

Jafari, H., Salehi, K., Etebari, A.. "Proposing a Developed Gram-Schmidt Algorithm to Construct Orthogonal Unit Vectors." Mathematics in Natural Science, 7, no. 1 (2021): 41--47


Keywords


MSC