Abstract
Generally, the least-squares problem can be solved by the normal equation. Based on the projection theorem, we propose a direct method to investigate the maximal and minimal ranks and inertias of the least-squares solutions of matrix equation AXB = C under Hermitian constraint, and the corresponding formulas for calculating the rank and inertia are derived.
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Foundation item: Supported by the Science Foundation Project of Tianshui Normal University (TSA1315)
Biography: DAI Lifang, female, Master, research direction: nonlinear functional analysis and its applications.
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Dai, L., Liang, M. & Wang, S. Optimization problems of the rank and inertia corresponding to a Hermitian least-squares problem. Wuhan Univ. J. Nat. Sci. 20, 101–105 (2015). https://doi.org/10.1007/s11859-015-1066-0
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DOI: https://doi.org/10.1007/s11859-015-1066-0