Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52620#.VJzCXcCAM4 Author(s) Mohammad M. Tabanjeh Affiliation(s) Department of Mathematics and Computer Science, Virginia State University, Petersburg, USA . ABSTRACT Computing the sign of the determinant or the value of the determinant of an n × n matrix A is a classical well-know problem and it is a challenge for both numerical and algebraic methods. In this paper, we review, modify and combine various techniques of numerical linear algebra and rational algebraic computations (with no error) to achieve our main goal of decreasing the bit-precision for computing det A or its sign and enable us to obtain the solution with ...
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