Reflections on the Gauss Principle of Least Constraint

Y. Y. Fan, R. E. Kalaba, H. H. Natsuyama and F. E. Udwadia
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Y. Y. Fan: University of California
R. E. Kalaba: University of Southern California
H. H. Natsuyama: California State University
F. E. Udwadia: University of Southern California

Journal of Optimization Theory and Applications, 2005, vol. 127, issue 3, No 3, 475-484

Abstract: Abstract The Gauss principle of least constraint is derived from a new point of view. Then, an extended principle of least constraint is derived to cover the case of nonideal constraints. Finally, a version of the principle for general underdetermined systems is adumbrated. Throughout, the notion of generalized inverses of matices plays a prominent role.

Keywords: Gauss principle of least constraint; nonideal nonholonomic constraints; generalized inverses of matrices (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s10957-005-7496-7

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