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S. S. Tezcan, “Discussion,” Journal of the Structural Division, American Society of Civil Engineers, Vol. 89, No. ST6, Part I, 1963, p. 445.

has been cited by the following article:

• TITLE: In-Place Matrix Inversion by Modified Gauss-Jordan Algorithm

  AUTHORS: Debabrata DasGupta

  KEYWORDS: Numerical Methods; Gauss-Jordan; Matrix; Inversion; In-Place; In-Core; Structural Analysis

  JOURNAL NAME: Applied Mathematics, Vol.4 No.10, October 4, 2013

  ABSTRACT: The classical Gauss-Jordan method for matrix inversion involves augmenting the matrix with a unit matrix and requires a workspace twice as large as the original matrix as well as computational operations to be performed on both the original and the unit matrix. A modified version of the method for performing the inversion without explicitly generating the unit matrix by replicating its functionality within the original matrix space for more efficient utilization of computational resources is presented in this article. Although the algorithm described here picks the pivots solely from the diagonal which, therefore, may not contain a zero, it did not pose any problem for the author because he used it to invert structural stiffness matrices which met this requirement. Techniques such as row/column swapping to handle off-diagonal pivots are also applicable to this method but are beyond the scope of this article.