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	Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization Vlček, Jan ; Lukšan, Ladislav Fulltext: content.csg - PDF Plný tet: v1244-17 - PDF Detailed record
	A Generalized Limited-Memory BNS Method Based on the Block BFGS Update Vlček, Jan ; Lukšan, Ladislav A block version of the BFGS variable metric update formula is investigated. It satisfies the quasi-Newton conditions with all used difference vectors and gives the best improvement of convergence in some sense for quadratic objective functions, but it does not guarantee that the direction vectors are descent for general functions. To overcome this difficulty and utilize the advantageous properties of the block BFGS update, a block version of the limited-memory BNS method for large scale unconstrained optimization is proposed. The algorithm is globally convergent for convex sufficiently smooth functions and our numerical experiments indicate its efficiency. Detailed record
	A Block Version of the BNS Limited-Memory Variable Metric Method for Unconstrained Minimization Vlček, Jan ; Lukšan, Ladislav Fulltext: content.csg - PDF Plný tet: v1232-16 - PDF Detailed record

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