W. Ding and Y. Wei, Generalized tensor eigenvalue problems, SIAM Journal on Matrix Anal- ysis and Applications, 36 (2015), pp. 1073-1099.Ding, W., Wei, Y.: Generalized tensor eigenvalue problems. SIAM J. Matrix Anal. Appl. (to appear)...
讲座论坛简介 This talk is devoted to generalized tensor eigenvalue problems. We focus on the properties and perturbations of the spectra of regular tensor pairs. Employing different techniques, we extend several classical results from matrices or matrix pairs to tensor pairs, such as the Gershgorin ...
A. Girard, The Fast Monte-Carlo Cross-Validation and CL Procedures: Com- ments, New Results and Application to Image Recovery Problems, Computational Statistics, 10 (1995), pp. 205{231. 13] G. H. Golub, Some Modi ed Matrix Eigenvalue Problems, SIAM Review, 15 (1973), pp. 318{334. ...
Recently, Winkler in [50] constructed large-data global generalized solutions to a two-dimensional chemotaxis system with tensor-valued sensitivities, and in [42] he also constructed large-data global generalized solutions to a two-dimensional chemotaxis system with singular sensitivity. Motivated by th...
RNN was able to solve the matrix inversion and the eigenvalue decomposition problems, which are two main matrix operations in most of the beamformers' solutions, e.g., MVDR and GEV beamformer. In the ADL-MVDR, the matrix inversion and PCA operations of traditional MVDR are replaced by two...
The spectral radius (or the least -eigenvalue) of the adjacency, Laplacian and signless Laplacian tensor of are denoted respectively by (or respectively by ). For a hypergraph with loops, the adjacency tensor of is defined as the same as that of , i.e. . The Laplacian tensor and the ...
Since the original optimization problem is non-convex, it is possible to fall into the non-optimal local solution. Choosing a good initial value greatly affects the convergence property and hence the final result too. The general tensor method often assigns a randomly generated value or 1 to the...
Saad, Y.: Numerical Methods for Large Eigenvalue Problems. Algorithms and Architectures for Advanced Scientific Computing. Manchester University Press, Manchester (1992) MATH Google Scholar Steihaug, T.: The conjugate gradient method and trust regions in large scale optimization. SIAM J. Numer. ...
eigen- value [j] of SWOj(o3n)laycdceoprednindgs on to the overall spin j of the eigenstate, which specifies the irreducible representation (irrep) which it transforms under rotations (these irreps can be constructed explicitly as the vector spaces of traceless symmetric rank j tensors in 3D...
Complexity issues for the symmetric interval eigenvalue problem Topical Issue: Advanced Computational Techniques for Fractional Differential Equations Some fractional integral formulas for the Mittag-Leffler type function with four parameters On the numerical solutions of some fractional ordinary differential...