Geodesic
Some notes on the quasi-Newton methods
Applications of Mathematics, Tome 27 (1982) no. 6, pp. 433-445.

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A survey note whose aim is to establish the heuristics and natural relations in a class of Quasi-Newton methods in optimization problems. It is shown that a particular algorithm of the class is specified by characcterizing some parameters (scalars and matrices) in a general solution of a matrix equation.
DOI : 10.21136/AM.1982.103990
Classification : 65H10, 65K05, 90C20, 90C30
Keywords: quasi-Newton methods; unconstrained optimization; conjugate directions; update formulas 
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Ozawa, Masanori; Yanai, Hiroshi. Some notes on the quasi-Newton methods. Applications of Mathematics, Tome 27 (1982) no. 6, pp. 433-445. doi : 10.21136/AM.1982.103990. http://geodesic.mathdoc.fr/articles/10.21136/AM.1982.103990/

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