Grcar, Joseph F. (Author)
This article summarizes the evolution of Gaussian elimination through the middle of the twentieth century [Grcar, 2011a,b]. The sole development in ancient times was in China. An independent origin in modern Europe has had three phases. First came the schoolbook lesson, beginning with Isaac Newton. Next were methods for professional hand computers, which began with Gauss, who apparently was inspired by work of JosephLouis Lagrange. Last was the interpretation in matrix algebra by several authors, including John von Neumann. There may be no other subject that has been molded by so many renowned mathematicians.
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