H. Wolkowicz and G. P. H. Styan, "Bounds for eigenvalues using traces," Linear Algebra and Its Applications, vol. 29, no. 2, pp. 471-506, 1980.H. Wolkowicz,G. P. Styan.Bounds for eigenvalues using traces. Linear Algebra and Its Applications . 1980...
In this paper, using new correction to the Crouzeix-Raviart finite element eigenvalue approximations, we obtain lower eigenvalue bounds for the Steklov eigenvalue problem with variable coefficients on d-dimensional domains (d = 2,3). In addition, we prove that the corrected eigenvalues asymptoticall...
Improving eigenvalue bounds using extra bounds Bounds for various functions of the eigenvalues of a Hermitian matrix A, based on the traces of A and A2, are improved. A technique is presented whereby these bounds can be improved by combining them with other bounds. In particular, the... JK...
where ∂i= ∂ρ/∂ifor some density matrix parameterized by a vector\(\bar{\theta }=\{{\theta }_{1}\ldots {\theta }_{m}\}\), and we writei,jas shorthand for the parametersθi,θj.λi,λjrepresent the eigenvalues associated with ∂iρand ∂jρ. The quantum Fisher inf...
where ∂i= ∂ρ/∂ifor some density matrix parameterized by a vector\(\bar{\theta }=\{{\theta }_{1}\ldots {\theta }_{m}\}\), and we writei,jas shorthand for the parametersθi,θj.λi,λjrepresent the eigenvalues associated with ∂iρand ∂jρ. ...
Yellow steps, for all spatial filters corresponding to individual cell bodies, we thresholded the filters at 5% of each filter’s maximum intensity and set to zero any filter components with non-zero weights outside the soma. To attain neural activity traces, we then reapplied the set of ...
These bounds involve the traces of A∗A, B2, C2, and D2, where B=12 (A + A∗), C=12 (A − A∗) /i, and D = AA∗ − A∗A, and strengthen some of the results in our earlier paper "Bounds for eigenvalues using traces" in Linear Algebra and Appl. [12].Henry...
We show that various old and new bounds involving eigenvalues of a complex n x n matrix are immediate consequences of the inequalities involving variance of real and complex numbers.doi:10.48550/arXiv.1409.0096R. SharmaR. KumarR. SainiEprint Arxiv...
Improving bounds for eigenvalues of complex matrices using traces[J]. Linear Algebra Appl, 2007 ( 426) : 841-854.Improving bounds for eigenvalues of complex matrices using traces[J] . Ting-Zhu Huang,Lin Wang.Linear Algebra and Its Applications . 2007 (2)...
Bounds for singular values using traces - MERIKOSKI, SARRIA, et al. - 1994 () Citation Context ...nly some suitable subsets. Our best O(n 2 ) bounds seem to be in general better than all the O(n 2 ) bounds we have found from the literature (e.g., the bound of [1, Theorem ...