Geodesic
On maximizing a concave function subject to linear constraints by Newton's method
Applications of Mathematics, Tome 13 (1968) no. 4, pp. 339-355.

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The paper deals with an adaptation of Newton's method for solving nonlinear programming problems. The adaptation is derived by replacing the gradient direction in Rosen's method by Newton's direction and both its convergence and practical aspects are discussed. Convergence properties of another adaptation of Newton's method (suggested by Hájek) are studied, too.
DOI : 10.21136/AM.1968.103178
Classification : 65K05, 90C26, 90C30 
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     title = {On maximizing a concave function subject to linear constraints by {Newton's} method},
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Žáčková, Jitka. On maximizing a concave function subject to linear constraints by Newton's method. Applications of Mathematics, Tome 13 (1968) no. 4, pp. 339-355. doi : 10.21136/AM.1968.103178. http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103178/

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