Minor component analysis by incremental inverse iteration

[1]  A. Ostrowski On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I , 1957 .

[2]  Ilse C. F. Ipsen Computing an Eigenvector with Inverse Iteration , 1997, SIAM Rev..

[3]  Dag Jonsson Some limit theorems for the eigenvalues of a sample covariance matrix , 1982 .

[4]  Fa-Long Luo,et al.  A Minor Component Analysis Algorithm , 1997, Neural Networks.

[5]  Giansalvo Cirrincione,et al.  Against the convergence of the minor component analysis neurons , 1999, IEEE Trans. Neural Networks.

[6]  J. H. Wilkinson The algebraic eigenvalue problem , 1966 .

[7]  Peter Strobach Square-root QR inverse iteration for tracking the minor subspace , 2000, IEEE Trans. Signal Process..

[8]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[9]  R. Larsen Lanczos Bidiagonalization With Partial Reorthogonalization , 1998 .

[10]  John B. Moore,et al.  Numerical Gradient Algorithms for Eigenvalue and Singular Value Calculations , 1994 .

[11]  Erkki Oja,et al.  Principal components, minor components, and linear neural networks , 1992, Neural Networks.

[12]  Juyang Weng,et al.  Candid Covariance-Free Incremental Principal Component Analysis , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Sabine Van Huffel,et al.  The MCA EXIN neuron for the minor component analysis , 2002, IEEE Trans. Neural Networks.

[14]  B. Parlett The Symmetric Eigenvalue Problem , 1981 .

[15]  Sean P. Meyn,et al.  The O.D.E. Method for Convergence of Stochastic Approximation and Reinforcement Learning , 2000, SIAM J. Control. Optim..

[16]  R. Brockett Dynamical systems that sort lists, diagonalize matrices, and solve linear programming problems , 1991 .

[17]  Gene H. Golub,et al.  Matrix computations , 1983 .