Nonsymmetric Lanczos and finding orthogonal polynomials associated with indefinite weights
暂无分享,去创建一个
Gene H. Golub | Sylvan Elhay | Daniel L. Boley | Martin H. Gutknecht | G. Golub | M. Gutknecht | Daniel Boley | S. Elhay
[1] Gene H. Golub,et al. Calculation of Gauss quadrature rules , 1967, Milestones in Matrix Computation.
[2] Franklin T. Luk,et al. An Analysis of Algorithm-Based Fault Tolerance Techniques , 1988, J. Parallel Distributed Comput..
[3] Jacob A. Abraham,et al. Algorithm-Based Fault Tolerance for Matrix Operations , 1984, IEEE Transactions on Computers.
[4] Beresford N. Parlett,et al. Reduction to Tridiagonal Form and Minimal Realizations , 1992, SIAM J. Matrix Anal. Appl..
[5] Gene H. Golub,et al. On the calculation of Jacobi Matrices , 1983 .
[6] W. Gautschi. On Generating Orthogonal Polynomials , 1982 .
[7] G. Golub,et al. Modified moments for indefinite weight functions , 1990 .
[8] Zhishun A. Liu,et al. A Look Ahead Lanczos Algorithm for Unsymmetric Matrices , 1985 .
[9] Christopher C. Paige,et al. The computation of eigenvalues and eigenvectors of very large sparse matrices , 1971 .
[10] J. Wheeler,et al. Modified moments and Gaussian quadratures , 1974 .
[11] Y. Saad. On the Rates of Convergence of the Lanczos and the Block-Lanczos Methods , 1980 .
[12] C. Lanczos. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators , 1950 .
[13] R. A. Sack,et al. An algorithm for Gaussian quadrature given modified moments , 1971 .
[14] H. Rutishauser. Der Quotienten-Differenzen-Algorithmus , 1954 .
[15] Wayne Joubert,et al. Lanczos Methods for the Solution of Nonsymmetric Systems of Linear Equations , 1992, SIAM J. Matrix Anal. Appl..
[16] W. Gragg. Matrix interpretations and applications of the continued fraction algorithm , 1974 .
[17] J.A. Abraham,et al. Fault-tolerant matrix arithmetic and signal processing on highly concurrent computing structures , 1986, Proceedings of the IEEE.
[18] Gene H. Golub,et al. Matrix computations , 1983 .
[19] C. Brezinski. Padé-type approximation and general orthogonal polynomials , 1980 .
[20] Mark David Kent. Chebyshev, Krylov, Lanczos : matrix relationships and computations , 1989 .
[21] Gene H. Golub,et al. The numerically stable reconstruction of a Jacobi matrix from spectral data , 1977, Milestones in Matrix Computation.
[22] Franklin T. Luk,et al. A Theoretical Foundation For The Weighted Checksum Scheme , 1988, Optics & Photonics.
[23] W. Gragg,et al. The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis , 1972 .
[24] G. Golub,et al. A survey of matrix inverse eigenvalue problems , 1986 .
[25] J. H. Wilkinson. The algebraic eigenvalue problem , 1966 .
[26] George Cybenko,et al. An explicit formula for Lanczos polynomials , 1987 .
[27] S. Kaniel. Estimates for Some Computational Techniques - in Linear Algebra , 1966 .
[28] J. Cullum,et al. Lanczos algorithms for large symmetric eigenvalue computations , 1985 .
[29] M. Gutknecht. A Completed Theory of the Unsymmetric Lanczos Process and Related Algorithms. Part II , 1994, SIAM J. Matrix Anal. Appl..