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National Repository of Grey Literature

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	O Lagrangeových multiplikátorech v metodách s lokálně omezeným krokem Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan Trust-region methods are globally convergent techniques widely used, for example, in connection with the Newton's method for unconstrained optimization. One of the most commonly-used iterative approaches for solving the trust-region subproblems is the Steihaug-Toint method which is based on conjugate gradient iterations and seeks a solution on Krylov subspaces. The paper contains new theoretical results concerning properties of Lagrange multipliers obtained on these subspaces. Detailed record
	Combined Trust Region Methods for Nonlinear Least Squares Lukšan, Ladislav Fulltext: content.csg - PDF Plný tet: v555-93 - PDF Detailed record
	The conjugate gradient method Křížek, Michal ; Segeth, Karel The paper introduces the main idea of the conjugate gradient method for solving large systems of linear algebraic equations. Detailed record
	A Shifted Steihaug-Toint Method for Computing a Trust-Region Step Lukšan, Ladislav ; Matonoha, Ctirad ; Vlček, Jan Plný tet: PDF Detailed record

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