In this paper an implicit (double) shifted QR-method for computing the eigenvalues of companion and fellow matrices will be presented. Companion and fellow matrices are Hessenberg matrices, that can be decomposed into the sum of a unitary and a rank 1 matrix. The Hessenberg, the unitary as well as the rank 1 structures are preserved under a step of the QR-method. This makes these matrices suita...

In this paper, a kernel fuzzy discriminant analysis minimum distance-based approach for the classification of face images is proposed to deal with face classification problem (we call this method mdkfda/qr as an abbreviation). A superiority of the mdkfda/qr is its computational efficiency and can avoid the singularity. In the proposed method, the membership degree is incorporated into the defin...

The purpose of this paper is to introduce an integrated mobile tagging system, which can be used by consumers to retrieve product information about Genetically Modified Food (GMF) products in the market. In the proposed mobile tagging system, 2 dimensional Quick Response (QR) codes are adopted as the tag for identification purpose. Consumers can use the camera on their mobile phone to capture t...

In this study we examine performance benefits of implementing the QR decomposition in a way that takes advantage of multiple processes or threads. This is done by partitioning the matrix into blocks of a certain number of rows, which is called the blocksize. We examine this algorithm on “tall and skinny” matrices, which are matrices that have a very large number of rows, but comparatively fewer...

Aggressive early deflation [1] has proven to significantly enhance the convergence of the QR algorithm for computing the eigenvalues of a nonsymmetric matrix. It is shown that this deflation strategy is equivalent to extracting converged Ritz vectors from certain Krylov subspaces. As a special case, the single-shift QR algorithm enhanced with aggressive early deflation corresponds to a Krylov s...

BACKGROUND Public reporting of hospital quality is to enable providers, patients and the public to make comparisons regarding the quality of care and thus contribute to informed decisions. It stimulates quality improvement activities in hospitals and thus positively impacts treatment results. Hospitals often use publicly reported data for further internal or external purposes.As of 2005, German...