A Study of Indicators for Identifying Zero Variables in Interior-Point Methods
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The ability to identify zero variables early on in an iterative method is of considerable value and can be used to computational advantage. In this work we first give a formal presentation of the notion of indicators for identifying zero variables, and then study various indicators proposed in the literature for use with interior-point methods for linear programming. We present both theory and experimentation that speaks strongly against the use of the variables as indicators; perhaps the most frequently used indicator in the literature. Our study implies that an indicator proposed by Tapia in 1980 is particularly effective in the context of primal-dual interior-point methods.
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El-Bakry, A., Tapia, R.A. and Zhang, Y.. "A Study of Indicators for Identifying Zero Variables in Interior-Point Methods." (1991) https://hdl.handle.net/1911/101719.