Banded matrices and discrete Sturm-Liouville eigenvalue problems.
Kratz, Werner (2009)
Advances in Difference Equations [electronic only]
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Kratz, Werner (2009)
Advances in Difference Equations [electronic only]
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Robert Mařík (2000)
Archivum Mathematicum
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András Kocsor, József Dombi, Imre Bálint (2002)
International Journal of Applied Mathematics and Computer Science
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A novel procedure is given here for constructing non-negative functions with zero-valued global minima coinciding with eigenvectors of a general real matrix A. Some of these functions are distinct because all their local minima are also global, offering a new way of determining eigenpairs by local optimization. Apart from describing the framework of the method, the error bounds given separately for the approximation of eigenvectors and eigenvalues provide a deeper insight into the fundamentally...
Lim, Teck-Cheong (2010)
Fixed Point Theory and Applications [electronic only]
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Ma, Ruyun, Luo, Hua, Gao, Chenghua (2008)
Advances in Difference Equations [electronic only]
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Fabián Flores-Bazán, Rubén López (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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In this work we study the multivalued complementarity problem on the non-negative orthant. This is carried out by describing the asymptotic behavior of the sequence of approximate solutions to its multivalued variational inequality formulation. By introducing new classes of multifunctions we provide several existence (possibly allowing unbounded solution set), stability as well as sensitivity results which extend and generalize most of the existing ones in the literature. We also present...