Cálculo de Autovalores via Métodos tipo Newton
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[1] R. Bellman, “Introduction to Matrix Analysis”, 2nd ed., SIAM, Philadelphia, 1997.
L.H. Bezerra e C. Tomei, Spectral Transformation Algorithms for Computing Unstable Modes, Comp. Appl. Math., 18 (1999), 1-14.
L.H. Bezerra, C. Tomei e R.A. McCoy, M¨obius Transforms and Solvers for Large Sparse Generalized Nonsymmetric Eigenvalue Problems, Tech. Rep. TR/PA/98/03, CERFACS, Toulouse, 1998.
S. Gomes Jr., N. Martins e C. Portela, Computing Small-Signal Stability Boundaries for Large-Scale Power Systems, IEEE Trans. on Power Systems, 18, No. 2 (2003), 747-752.
A. Jennings e W.J. Stewart, Simultaneous Iteration for Partial Eigensolution of Real Matrices, J. Inst. Math. Appl., 15 (1975), 351–361.
R.B. Lehoucq, D.C. Sorensen e C. Yang, “ARPACK Users’ Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods”, SIAM, Philadelphia, 1998.
N. Martins, The Dominant Pole Spectrum Eigensolver, IEEE Trans. on Power Systems, 12, No. 1 (1997), 245-254.
N. Martins, L.T.G. Lima e H.J.C.P. Pinto, Computing Dominant Poles of Very High Order Transfer Functions, IEEE Trans. on Power Systems, 11, No. 1 (1996), 162-170.
N. Martins e P.E.M. Quintão, Computing dominant poles of power system multivariable transfer functions, IEEE Trans. on Power Systems, 18, No. 1 (2003), 152-159.
G. Peters e J.H. Wilkinson, Inverse Iteration, Ill-Conditioned Equations and Newton’s Method, SIAM Rev., 21 (1979), 339-360.
G.L.G. Sleijpen e H.A. Van der Vorst, A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM Rev., 42 (2000), 267–293.
G.L.G. Sleijpen e H.A. Van der Vorst, The Jacobi-Davidson method for eigenvalue problems and its relation with accelerated inexact Newton schemes, em “Iterative Methods in Linear Algebra, II” (S.D. Margenov e P.S. Vassilevski, eds.), IMACS Ser. Comput. Appl. Math., 3, New Brunswick, NJ, (1996) 377-389.
DOI: https://doi.org/10.5540/tema.2004.05.01.0037
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Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
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