Noda iterations for generalized eigenproblems following Perron-Frobenius theory
暂无分享,去创建一个
[1] Jack Dongarra,et al. Templates for the Solution of Algebraic Eigenvalue Problems , 2000, Software, environments, tools.
[2] Ludwig Elsner,et al. Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix , 1976 .
[3] D. D. Olesky,et al. Perron-frobenius theory for a generalized eigenproblem , 1995 .
[4] T. Fujimoto,et al. The Frobenius theorem, its Solow-Samuelson extension and the Kuhn-Tucker theorem , 1974 .
[5] Ching-Sung Liu. An inexact Noda iteration for computing the smallest eigenpair of a large irreducible monotone matrix , 2015, 1504.02197.
[6] J. Gillis,et al. Matrix Iterative Analysis , 1961 .
[7] G. Stewart. Matrix Algorithms, Volume II: Eigensystems , 2001 .
[8] Xue Jungong. Computing the Smallest Eigenvalue of an M-Matrix , 1996 .
[9] Weizhang Huang,et al. Sign-preserving of principal eigenfunctions in P1 finite element approximation of eigenvalue problems of second-order elliptic operators , 2013, J. Comput. Phys..
[10] Chun-Hua Guo,et al. A Positivity Preserving Inverse Iteration for Finding the Perron Pair of an Irreducible Nonnegative Third Order Tensor , 2016, SIAM J. Matrix Anal. Appl..
[11] Takashi Noda,et al. Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix , 1971 .
[12] Jungong Xue. Computing the Smallest Eigenvalue of an M-Matrix , 1996, SIAM J. Matrix Anal. Appl..
[13] L. Pasinetti. Essays on the Theory of Joint Production , 1980 .
[14] P. Sraffa. Production of commodities by means of commodities , 1960 .
[15] 藤本 喬雄. A Generalization of the Frobenius Theorem (菅原〔修〕教授退官記念号) , 1977 .
[16] David W. Lewis,et al. Matrix theory , 1991 .
[17] Wen-Wei Lin,et al. A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible $$M$$M-matrix , 2013, Numerische Mathematik.
[18] G. Stewart,et al. Matrix Perturbation Theory , 1990 .
[19] Robert J. Plemmons,et al. Nonnegative Matrices in the Mathematical Sciences , 1979, Classics in Applied Mathematics.
[20] P. Sraffa. Production of Commodities by Means of Commodities: Prelude to a Critique of Economic Theory , 1960 .