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Visual BasicTM Routine for In-Place Matrix Inversion

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Document pages: 10 pages

Abstract: A modified version of the Gauss-Jordan algorithm for performing In-Placematrix inversion without using an augmenting unit matrix was described in aprevious article by the author. He had also developed several Structural Engineeringsoftwares during his career using that method as their analysis engine.He chose matrix inversion because it was suitable for in-core solution of largenumbers of vectors for the same set of equations as encountered in structuralanalysis of moving, dynamic and seismic loadings. The purpose of this articleis to provide its readers with its theoretical background and detailed computationsof an In-Place matrix inversion task as well as a Visual Basic routine ofthe algorithm for direct incorporation into Visual Basic 6TM softwares andVisual Basic for ApplicationsTM macros in MS-ExcelTM spreadsheets to savethem time and effort of software development.

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