An unconstrained global optimization framework for real symmetric eigenvalue problems

Yunho Kim

Type: Article

Publication Date: 2019-05-09

Citations: 3

DOI: https://doi.org/10.1016/j.apnum.2019.05.006

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Applied Numerical Mathematics - View

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Works That Cite This (1)

Action	Title	Year	Authors
+	A Newton’s method characterization for real eigenvalue problems	2019	Yunho Kim

Works Cited by This (11)

Action	Title	Year	Authors
+	Optimization Algorithms on Matrix Manifolds	2007	P.-A. Absil Robert Mahony Rodolphe Sepulchre
+	On the numerical analysis of eigenvalue problems	2013	Joscha Gedicke
+	Constructing Laplace operator from point clouds in Rd	2009	Mikhail A. Belkin Jian Sun Yusu Wang
+	On exact estimates of the convergence rate of the steepest ascent method in the symmetric eigenvalue problem	1991	Andrew Knyazev A.L. Shorokhodov
+ PDF Chat	Numerical Optimization of Eigenvalues of Hermitian Matrix Functions	2014	Emre Mengi E. Alper Yıldırım Mustafa Kiliç
+	Continuous methods for symmetric generalized eigenvalue problems	2007	Xing-Bao Gao Gene H. Golub Li‐Zhi Liao
+	A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems	1996	Gérard L. G. Sleijpen H.A. van der Vorst
+	A geometric theory for preconditioned inverse iteration III: A short and sharp convergence estimate for generalized eigenvalue problems	2002	Andrew Knyazev Klaus Neymeyr
+	Fast algorithms for sparse principal component analysis based on Rayleigh quotient iteration	2013	Volodymyr Kuleshov
+ PDF Chat	Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method	2018	R. A. Tapia J. E. Dennis Jan P. Schäfermeyer