A dynamical proof of the method of Lagrange

SIAM Review

Volumn 40, Issue 4, 1998, Pages 941-944

  Knoerr, Alan P ^a  

^a OCCIDENTAL COLLEGE   (United States)

Author keywords

Dynamical systems on manifolds; Lagrange multiplier theorem

Indexed keywords

DYNAMICS; LAGRANGE MULTIPLIERS; OPTIMIZATION;

CONSTRAINED OPTIMIZATION;

DIFFERENTIAL EQUATIONS;

EID: 0032289501     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003614459732833X     Document Type: Article

References (9)

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5. E. HILLE, Lectures on Ordinary Differential Equations, Addison-Wesley, Menlo Park, CA, 1969.
6. G. STRANG, Introduction to Linear Algebra, Wellesley-Cambridge Press, Wellesley, MA, 1993.
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8. W. H. FLEMING AND R. W. RISHEL, Deterministic and Stochastic Optimal Control, SpringerVerlag, New York, 1975.
9. R. E. KALABA AND F. E. UDWADIA, Lagrangian mechanics, Gauss's principle, quadratic programming, and generalized inverses: New equations for nonholonomically constrained discrete mechanical systems, Quart. Appl. Math., 52 (1994), pp. 229-241.