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.
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.
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
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
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