Previous |  Up |  Next

Article

References:
[1] K. M. Brown: Computer Oriented Methods for Fitting Tabular Data in the Linear and Nonlinear Least Squares Sense. Research Report No. 72-13, Department of Computer, Information and Control Sciences, University of Minnesota 1972.
[2] K. M. Brown, J. E. Dennis: Derivative free analogues of the Levenberg-Marquardt and Gauss algorithms for nonlinear least squares approximations. Numer. Math. 18 (1972), 289-297. MR 0303723
[3] R. A. De Carlo J. Murray, R. Saeks: Multivariable Nyquist theory. Internat. J. Control 25 (1976), 5, 657-675. MR 0449829
[4] P. Delsarte Y. V. Genin, Y. G. Kamp: A simple proof of Rudin's multivariable stability theorem. IEEE Trans. Acoust. Speech Signal Process. ASSP-28 (1980), 6, 701-705. MR 0604825
[5] T. Kaczorek: Two-Dimensional Linear Systems. Lecture Notes in Control and Inform. Sci. 68. Springer-Verlag, Berlin 1985. MR 0870854 | Zbl 0593.93031
[6] K. Levenberg: A method for the solution of certain non-linear problems in least squares. Quart. Appl. Meth. 2 (1944), 164-168. MR 0010666 | Zbl 0063.03501
[7] D. W. Marquardt: An algorithm for least-squares estimation of nonlinear parameters. SIAM J. 11 (1963), 2. MR 0153071 | Zbl 0112.10505
[8] N. E. Mastorakis: Approximate and stable separable polynomial factorization. Found. Comput. Decision Sci. 21 (1996), 1, 55-64. MR 1399859 | Zbl 0861.93020
[9] N. E. Mastorakis: Multidimensional Polynomials. PҺ.D. Thesis. National Technical University of Athens 1992. Zbl 0781.93048
[10] N. E. Mastorakis, N. J. Theodorou: Operators' method for $m$-D polynomials factorization. Found. Comput. Decision Sci. 15 (1990), 3-4, 159-172. MR 1114659
[11] N. E. Mastorakis, N. J. Theodorou: Approximate factorization of multidimensional polynomials depending on a parameter $\lambda$. Bull. Electronics of the Polish Academy 40 (1992), 1, 47-51. Zbl 0781.93048
[12] N. E. Mastorakis, N. J. Theodorou: State-space model factorization in $m$-dimensions. Appl. in Stability. Found. Comput. Decision Sci. 17 (1992), 1, 55-61. MR 1174151 | Zbl 0814.93036
[13] N. E. Mastorakis, N. J. Theodorou: Simple, group and approximate factorization of multidimensional polynomials. In: IEEE-Mediterranean Conference on New Directions in Control Theory and Applications. Session: 2-D Systems, Chania 1993.
[14] N. E. Mastorakis, N. J. Theodorou: Exact and approximate multidimensional polynomial factorization. Application on measurement processing. Found. Comput. Decision Sci. 19 (1994), 4, 307-317. MR 1319944 | Zbl 0827.93036
[15] N. E. Mastorakis, N. J. Theodorou, S. G. Tzafestas: Multidimensional polynomial factorization in linear $m$-D factors. Internat. J. Systems Sci. 23 (1992), 11, 1805-1824. MR 1194285
[16] N. E. Mastorakis S. G. Tzafestas, N. J. Theodorou: A simple multidimensional polynomial factorization method. In: IMACS-IFAC Internat. Symp. on Math. and Intelligent Models in System Simulation, Brussels 1990, pp. VII.B.1-1.
[17] N. E. Mastorakis S. G. Tzafestas, N. J. Theodorou: A reduction method for multivariable polynomial factorization. In: International Symposium on Signal Processing, Robotics and Neural Networks (SPRANN-94), IMACS-IEEE. Proceedings Session 2-D Systems, Lille 1994.
[18] W. Murray (ed.): Numerical Methods for Unconstrained Optimization. Academic Press, New York 1972.
[19] J. Murray: Another proof and shaгpening of Huang's theorem. IEEE Trans. Acoust. Speech Signal Process. ASSP-25 (1977), 581-582.
[20] M. Powell: Problems Related to Unconstrained Optimization. Chapter in [18].
[21] J. L. Shanks S. Treital, J. H. Justice: Stability and synthesis of two dimensional recursive filters. IEEE Trans. Audio Electroacoust. 20 (1972), 115-208.
[22] N. J. Theodorou, S. G. Tzafestas: Reducibility and factorizability of multivariable polynomials. Control Theory Adv. Tech. 1 (1985), 25-46.
[23] S. G. Tzafestas (ed.): Multidimensional Systems: Techniques and Applications. Marcel Dekker, New York 1986. Zbl 0624.00025
Partner of
EuDML logo