A QR based technique is presented for estimating the approximate numerical rank and corresponding signal subspace of a matrix together with the subspace projection of the least squares weights. Theoretical difficulties associated with conventional QR factorisation are overcome by applying the technique of RowZeroing QR to the covariance matrix. Thresholding is simplified compared with the use o...

We propose a new parallelization scheme for the Hessenberg double shift QR algorithm. Our scheme allows software pipelining and communication latency hiding, and gives almost perfect load balance. An asymptotic parallelizing overhead analysis shows that our scheme attains the best possible scalability of the double shift QR algorithm, and that the overheads are less than the multishift algorith...

We consider the Givens QR factorization of banded Hessenberg-Toeplitz matrices of large order and relatively small bandwidth. We investigate the asymptotic behavior of the R factor and the Givens rotation when the order of the matrix goes to infinity, and present some interesting convergence properties. These properties can lead to savings in the computation of the exact QR factorization and gi...

Technology that combines a 2D BarCode with a digital watermark is a topic of great interest in current research related to the security field. This paper presents a new digital watermark method for the QR Code(Quick Response Code). An invisible watermark is embedded in the QR Code image using watermark technology, and while this is being done, the DCT intermediate frequency coefficients are com...

Single subband model for InAs/GaAs quantum rings (QR), with the electron effective mass depending on the confinement energy by the Kane formula is applied for numerical simulation of the capacitance-voltage (CV) spectroscopy experiments. Geometrical parameters chosen for the model are based on the fabrication process for InAs/GaAs QD/QR. The 3D confined energy problem is solved numerically by t...

Twenty-seven selenium compounds and sixteen structurally related organosulfur compounds were tested for quinone reductase (QR) and glutathione-S-transferase (GST) inducing activity in murine hepatoma (Hepa 1c1c7) cells. Sixteen selenium compounds were able to double QR activity, and seven of them also doubled GST activity. The nine most potent compounds, dimethyl diselenide, 2,5-diphenyl- selen...

Gastrointestinal (GI) mimic and organic solvent extracts of whole soybean powder (WSP), soy protein concentrate (SPC), and soy protein isolate (SPI) as well as soy isoflavone concentrate (SIC) were analyzed for total phenols; quinone reductase (QR) induction in hepa1c1c7 cells; antioxidant scavenging of DPPH, HOCl, ONOO(-), and O(2) (-.); and total antioxidant capacity via FRAP and ORAC assays....

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...