Displaying similar documents to “Complexity issues for the symmetric interval eigenvalue problem”

Strict spectral approximation of a matrix and some related problems

Krystyna Ziętak (1997)

Applicationes Mathematicae

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We show how the strict spectral approximation can be used to obtain characterizations and properties of solutions of some problems in the linear space of matrices. Namely, we deal with (i) approximation problems with singular values preserving functions, (ii) the Moore-Penrose generalized inverse. Some properties of approximation by positive semi-definite matrices are commented.

Inequality-based approximation of matrix eigenvectors

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...

Patterns with several multiple eigenvalues

J. Dorsey, C.R. Johnson, Z. Wei (2014)

Special Matrices

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Identified are certain special periodic diagonal matrices that have a predictable number of paired eigenvalues. Since certain symmetric Toeplitz matrices are special cases, those that have several multiple 5 eigenvalues are also investigated further. This work generalizes earlier work on response matrices from circularly symmetric models.