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	A Hybrid Method for Nonlinear Least Squares that Uses Quasi-Newton Updates Applied to an Approximation of the Jacobian Matrix Lukšan, Ladislav ; Vlček, Jan In this contribution, we propose a new hybrid method for minimization of nonlinear least squares. This method is based on quasi-Newton updates, applied to an approximation A of the Jacobian matrix J, such that AT f = JT f. This property allows us to solve a linear least squares problem, minimizing ∥Ad+f∥ instead of solving the normal equation ATAd+JT f = 0, where d ∈ Rn is the required direction vector. Computational experiments confirm the efficiency of the new method. Detailed record
	New Quasi-Newton Method for Solving Systems of Nonlinear Equations Lukšan, Ladislav ; Vlček, Jan Fulltext: content.csg - PDF Plný tet: v1233-16 - PDF Detailed record
	Efficient tridiagonal preconditioner for the matrix-free truncated Newton method Lukšan, Ladislav ; Vlček, Jan Fulltext: content.csg - PDF Plný tet: v1177-13 - PDF Detailed record
	Numerical algorithms for polynomial matrices Hromčík, Martin ; Šebek, Michael This report is devoted to new numerical methods for computations with polynomials and polynomial matrices that are encountered when solving the problems of control systems design via the algebraic methods. A distinguishing feature ofour approach is the extensive employment of the discrete Fourier transform tech-niques, namely of the famous Fast Fourier Transform routine and its relation to polynomial interpolation and Z-transform. Detailed record
	Kontextově orientovaná diskretizace numerických atributů Kočková, Sylva Detailed record

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