Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
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[1] D. Inman,et al. Some Results on the Nature of Eigenvalues of Discrete Damped Linear Systems , 1980 .
[2] P. Lancaster,et al. Factorization of selfadjoint matrix polynomials with constant signature , 1982 .
[3] Y. Moon,et al. Finding a positive definite linear combination of two Hermitian matrices , 1983 .
[4] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[5] Charles R. Crawford. Algorithm 646: PDFIND: a routine to find a positive definite linear combination of two real symmetric matrices , 1986, TOMS.
[6] N. Higham. COMPUTING A NEAREST SYMMETRIC POSITIVE SEMIDEFINITE MATRIX , 1988 .
[7] Nicholas J. Higham,et al. INVERSE PROBLEMS NEWSLETTER , 1991 .
[8] P. Lancaster,et al. Overdamped and Gyroscopic Vibrating Systems , 1992 .
[9] K. Veselié. A Jacobi eigenreduction algorithm for definite matrix pairs , 1993 .
[10] N. Higham,et al. Numerical analysis of a quadratic matrix equation , 2000 .
[11] Karl Meerbergen,et al. The Quadratic Eigenvalue Problem , 2001, SIAM Rev..
[12] Chun-Hua Guo,et al. Convergence Rate of an Iterative Method for a Nonlinear Matrix Equation , 2001, SIAM J. Matrix Anal. Appl..
[13] Nicholas J. Higham,et al. Analysis of the Cholesky Method with Iterative Refinement for Solving the Symmetric Definite Generalized Eigenproblem , 2001, SIAM J. Matrix Anal. Appl..
[14] Dario Bini,et al. Computations with infinite Toeplitz matrices and polynomials , 2002 .
[15] Beatrice Meini,et al. Efficient computation of the extreme solutions of X + A*X-1A = Q and X - A*X-1A = Q , 2001, Math. Comput..
[16] Peter Lancaster,et al. Lambda-matrices and vibrating systems , 2002 .
[17] N. Higham,et al. Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems , 2002 .
[18] N. Higham,et al. Bounds for eigenvalues of matrix polynomials , 2003 .
[19] Paul Van Dooren,et al. Normwise Scaling of Second Order Polynomial Matrices , 2004, SIAM J. Matrix Anal. Appl..
[20] Chun-Hua Guo,et al. Algorithms for hyperbolic quadratic eigenvalue problems , 2005, Math. Comput..
[21] Peter Lancaster,et al. Inverse Spectral Problems for Semisimple Damped Vibrating Systems , 2007, SIAM J. Matrix Anal. Appl..
[22] Wen-Wei Lin,et al. Convergence Analysis of Structure-Preserving Doubling Algorithms for Riccati-Type Matrix Equations , 2006, SIAM J. Matrix Anal. Appl..
[23] Nicholas J. Higham,et al. The Conditioning of Linearizations of Matrix Polynomials , 2006, SIAM J. Matrix Anal. Appl..
[24] Nicholas J. Higham,et al. Backward Error of Polynomial Eigenproblems Solved by Linearization , 2007, SIAM J. Matrix Anal. Appl..
[25] N. Higham,et al. Notes on Hyperbolic Matrix Polynomials and Definite Linearizations , 2007 .
[26] Nicholas J. Higham,et al. Functions of matrices - theory and computation , 2008 .
[27] N. Higham,et al. Scaling, sensitivity and stability in the numerical solution of quadratic eigenvalue problems , 2008 .
[28] Nicholas J. Higham,et al. Definite Matrix Polynomials and their Linearization by Definite Pencils , 2009, SIAM J. Matrix Anal. Appl..