Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems
暂无分享,去创建一个
[1] Roy Mathias,et al. A Chain Rule for Matrix Functions and Applications , 1996, SIAM J. Matrix Anal. Appl..
[2] Thomas Kailath,et al. Linear Systems , 1980 .
[3] Israel Gohberg,et al. On the local theory of regular analytic matrix functions , 1993 .
[4] V. Mehrmann,et al. Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods , 2004 .
[5] Lloyd N. Trefethen,et al. Reviving the Method of Particular Solutions , 2005, SIAM Rev..
[6] Jon Wilkening,et al. An algorithm for computing Jordan chains and inverting analytic matrix functions , 2007 .
[7] Christian Hafner,et al. Band structure computations of metallic photonic crystals with the multiple multipole method , 2002 .
[8] G. Sleijpen,et al. An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems , 2008 .
[9] Jianhong Wu. Theory and Applications of Partial Functional Differential Equations , 1996 .
[10] W. Beyn. An integral method for solving nonlinear eigenvalue problems , 2012 .
[11] W. Beyn,et al. Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension , 2001 .
[12] P. Deuflhard. Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms , 2011 .
[13] Leiba Rodman,et al. Analytic matrix functions with prescribed local data , 1981 .
[14] Willy Govaerts,et al. Numerical methods for bifurcations of dynamical equilibria , 1987 .
[15] Nicholas J. Higham,et al. Functions of matrices - theory and computation , 2008 .
[16] Wim Michiels. Stability and stabilization of time-delay systems , 2002 .
[17] E. Allgower,et al. Numerical Continuation Methods , 1990 .
[18] Tomaž Košir,et al. Kronecker Bases for Linear Matrix Equations, With Application to Two-Parameter Eigenvalue Problems , 1996 .
[19] Luca Dieci,et al. Continuation of invariant subspaces , 2001, Numer. Linear Algebra Appl..
[20] Olaf Steinbach,et al. A boundary element method for the Dirichlet eigenvalue problem of the Laplace operator , 2009, Numerische Mathematik.
[21] Daniel Kressner,et al. A block Newton method for nonlinear eigenvalue problems , 2009, Numerische Mathematik.
[22] H. Keller,et al. Homotopy Method for the Large, Sparse, Real Nonsymmetric Eigenvalue Problem , 1997, SIAM J. Matrix Anal. Appl..
[23] James Demmel,et al. Continuation of Invariant Subspaces in Large Bifurcation Problems , 2008, SIAM J. Sci. Comput..
[24] N. Kamiya,et al. Generalized eigenvalue formulation of the helmholtz equation by the trefftz method , 1994 .