Eigendecomposition of Block Tridiagonal Matrices
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[1] Peter Lancaster,et al. The theory of matrices , 1969 .
[2] P. Lauterbur,et al. Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance , 1973, Nature.
[3] T. J. Rivlin. The Chebyshev polynomials , 1974 .
[4] R. Askey. Orthogonal Polynomials and Special Functions , 1975 .
[5] J. Cuppen. A divide and conquer method for the symmetric tridiagonal eigenproblem , 1980 .
[6] F. R. Gantmakher. The Theory of Matrices , 1984 .
[7] Martin Vetterli,et al. Fast Fourier transforms: a tutorial review and a state of the art , 1990 .
[8] S. Iida,et al. Statistical scattering theory, the supersymmetry method and universal conductance fluctuations , 1990 .
[9] David W. Lewis,et al. Matrix theory , 1991 .
[10] Nikhil Balram,et al. Recursive structure of noncausal Gauss-Markov random fields , 1992, IEEE Trans. Inf. Theory.
[11] B. Kramer,et al. Localization: theory and experiment , 1993 .
[12] N. Balram,et al. Noncausal Gauss Markov random fields: Parameter structure and estimation , 1993, IEEE Trans. Inf. Theory.
[13] S. Eisenstat,et al. A Stable and Efficient Algorithm for the Rank-One Modification of the Symmetric Eigenproblem , 1994, SIAM J. Matrix Anal. Appl..
[14] Zyczkowski,et al. Periodic band random matrices, curvature, and conductance in disordered media. , 1994, Physical review letters.
[15] Stanley C. Eisenstat,et al. A Divide-and-Conquer Algorithm for the Symmetric Tridiagonal Eigenproblem , 1995, SIAM J. Matrix Anal. Appl..
[16] J. Anderson,et al. Computational fluid dynamics : the basics with applications , 1995 .
[17] Antonio J. Durán,et al. ORTHOGONAL MATRIX POLYNOMIALS: ZEROS AND BLUMENTHAL'S THEOREM , 1996 .
[18] Dennis M. Healy,et al. Fast Discrete Polynomial Transforms with Applications to Data Analysis for Distance Transitive Graphs , 1997, SIAM J. Comput..
[19] Jitendra Malik,et al. Normalized cuts and image segmentation , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.
[20] Weiwei Sun,et al. The minimal eigenvalues of a class of block-tridiagonal matrices , 1997, IEEE Trans. Inf. Theory.
[21] Sergey Brin,et al. The Anatomy of a Large-Scale Hypertextual Web Search Engine , 1998, Comput. Networks.
[22] José M. F. Moura,et al. Data assimilation in large time-varying multidimensional fields , 1999, IEEE Trans. Image Process..
[23] José M. F. Moura,et al. Matrices with banded inverses: Inversion algorithms and factorization of Gauss-Markov processes , 2000, IEEE Trans. Inf. Theory.
[24] Christian H. Bischof,et al. A framework for symmetric band reduction , 2000, TOMS.
[25] Markus Püschel,et al. In search of the optimal Walsh-Hadamard transform , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).
[26] Wilfried N. Gansterer,et al. An extension of the divide-and-conquer method for a class of symmetric block-tridiagonal eigenproblems , 2002, TOMS.
[27] Orthogonal matrix polynomials and quadrature formulas , 2002 .
[28] José M. F. Moura,et al. The Algebraic Approach to the Discrete Cosine and Sine Transforms and Their Fast Algorithms , 2003, SIAM J. Comput..
[29] J. Mason,et al. Integration Using Chebyshev Polynomials , 2003 .
[30] Wilfried N. Gansterer,et al. Computing Approximate Eigenpairs of Symmetric Block Tridiagonal Matrices , 2003, SIAM J. Sci. Comput..
[31] I. Pacharoni,et al. Matrix valued orthogonal polynomials of the Jacobi type , 2003 .
[32] W. Gautschi. Orthogonal Polynomials: Computation and Approximation , 2004 .
[33] Antonio J. Durán Guardeño,et al. Orthogonal matrix polynomials, scalar-type Rodrigues' formulas and Pearson equations , 2005, J. Approx. Theory.
[34] José M. F. Moura,et al. Block matrices with L-block-banded inverse: inversion algorithms , 2005, IEEE Transactions on Signal Processing.
[35] Alexander Zien,et al. Semi-Supervised Learning , 2006 .
[36] José M. F. Moura,et al. Algebraic Signal Processing Theory , 2006, ArXiv.
[37] Bernhard Schölkopf,et al. Introduction to Semi-Supervised Learning , 2006, Semi-Supervised Learning.
[38] Holger Dette,et al. Matrix Measures and Random Walks with a Block Tridiagonal Transition Matrix , 2006, SIAM J. Matrix Anal. Appl..
[39] Ahmed H. Sameh,et al. A parallel hybrid banded system solver: the SPIKE algorithm , 2006, Parallel Comput..
[40] Ulrike von Luxburg,et al. A tutorial on spectral clustering , 2007, Stat. Comput..
[41] José M. F. Moura,et al. Algebraic Signal Processing Theory: Cooley–Tukey Type Algorithms for DCTs and DSTs , 2007, IEEE Transactions on Signal Processing.
[42] José M. F. Moura,et al. Algebraic Signal Processing Theory: 1-D Space , 2008, IEEE Transactions on Signal Processing.
[43] Per Christian Hansen,et al. Block tridiagonal matrix inversion and fast transmission calculations , 2008, J. Comput. Phys..
[44] Franz Franchetti,et al. Discrete fourier transform on multicore , 2009, IEEE Signal Processing Magazine.
[45] F. Alberto Grünbaum,et al. The Karlin–McGregor formula for a variant of a discrete version of Walsh's spider , 2009 .
[46] Markus Püschel,et al. Algebraic Signal Processing Theory: Cooley–Tukey Type Algorithms for Real DFTs , 2008, IEEE Transactions on Signal Processing.
[47] Jelena Kovacevic,et al. Algebraic Signal Processing Theory: Cooley-Tukey-Type Algorithms for Polynomial Transforms Based on Induction , 2010, SIAM J. Matrix Anal. Appl..
[48] Jelena Kovacevic,et al. Algebraic Signal Processing Theory: 1-D Nearest Neighbor Models , 2012, IEEE Transactions on Signal Processing.
[49] José M. F. Moura,et al. Discrete Signal Processing on Graphs , 2012, IEEE Transactions on Signal Processing.