In this paper we give first results for the approximation of eb, i.e. the matrix exponential times a vector, using the incomplete orthogonalization method. The benefits compared to the Arnoldi iteration are clear: shorter orthogonalization lengths make the algorithm faster and a large memory saving is also possible. For the case of three term orthogonalization recursions, simple error bounds ar...

In a study of articles published in the Proceedings of the National Academy of Sciences, Gunther Eysenbach discovered a significant citation advantage for those articles made freely-available upon publication (Eysenbach 2006). While the author attempted to control for confounding factors that may have explained the citation differential, the study was unable to control for characteristics of th...

We propose and experimentally demonstrate a dual-polarization (DP) transceiver imbalance monitoring scheme, which is applicable for the coherent system using square QAM signals. The scheme can separate/monitor various kinds of imbalances has technical advantages multi-dimension, wide range, modulation-format-transparency. In proposed polarization scrambler configured between transmitter (Tx) re...

The preparation of substituted pyrrolizines through the Schmidt reaction of acyl chlorides with alkyl azides has been realized. Intramolecular capture of the isocyanate ion and N-acyliminium ion intermediates from the Schmidt process with alkene or alkyne units was achieved, and the efficiency of the conversion with respect to ring construction and bond formation was demonstrated.

The most eeective and widely used methods for integrating the Orr-Sommerfeld equation by shooting are the continuous orthogonalization method and the compound matrix method. In this paper, we consider this problem from a diierential-geometric point of view. A new deenition of orthogonalization is presented: restriction of the Orr-Sommerfeld to a complex Stiefel manifold, and this deenition lead...

This report is a sequel to several publications in which a Multiple-Gradient Descent Algorithm (MGDA) has been proposed and tested for the treatment of multi-objective differentiable optimization. The method was originally introduced in [4], and again formalized in [6]. Its efficacy to identify the Pareto front has been demonstrated in [9], in comparison with an evolutionary strategy. Finally, ...