Multiple attenuation using eigenvalue decomposition

Robust Density Comparison Using Eigenvalue Decomposition

Joint Eigenvalue Decomposition Using Polar Matrix Factorization

In this paper we propose a new algorithm for the joint eigenvalue decomposition of a set of real non-defective matrices. Our approach resorts to a Jacobi-like procedure based on polar matrix decomposition. We introduce a new criterion in this context for the optimization of the hyperbolic matrices, giving birth to an original algorithm called JDTM. This algorithm is described in detail and a co...

Eigenvalue inclusions via domain decomposition

We describe a method for the calculation of guaranteed bounds for the K lowest eigenvalues of second-order problems with Neumann boundary conditions. Using P2 approximations for the eigenfunctions and RT1 approximations for the gradients of the eigenfunctions in H(div; ), an error bound for the eigenfunctions is established for weak approximations in H1( ). In addition, the rest of the spectrum...

Video Shot Boundary Detection Using Generalized Eigenvalue Decomposition

Shot boundary detection is the first step of the video analysis, summarization and retrieval. In this paper, we propose a novel shot boundary detection algorithm using Generalized Eigenvalue Decomposition (GED) and modeling of gradual transitions by Gaussian functions. Especially, we focus on the challenges of detecting the gradual shots and extracting appropriate spatio-temporal features, whic...

Hermite Matrix and Its Eigenvalue-based Decomposition

In the MUSIC approach for multiple emitter location, the array covariance matrix is a Hermite matrix. In order to realize the MUSIC approach, we have to do the work of eigenvalue-based decomposition of the Hermite matrix. This paper proves that the problem of Hermite matrix decomposition can be transformed into the problem of real symmetric matrix decomposition, and the article gives the detail...