Lyapunov’s direct method. Two matrix equations have been derived: matrix polynomial equation and continuous (discrete) Lyapunov matrix equation. Also, modifications of the existing sufficient conditions of convergence of Traub and Bernoilli algorithms for computing the dominant solvent of the matrix polynomial equation are derived. These results have been extended to large scale systems as well...

Operations research/management contributions to emergency department patient flow optimization: Review and research prospects Soroush Saghafian, Garrett Austin & Stephen J. Traub a Industrial Engineering, School of Computing, Informatics and Decision Systems Engineering, Arizona State University, Tempe, AZ, 85281, USA b Department of Emergency Medicine, Mayo Clinic, Phoenix, AZ, 85054, USA Publ...

Full citations are provided for four posthumously published papers coauthored or inspired by the late Robert Traub, the greatest authority on fleas and flea-borne diseases who ever lived. Seven additional patronyms, five posthumous and two newly discovered, bring to 41 the total number of taxa named for this preeminent medical entomologist.

In the present study, two new compositions of convergence order six are presented for solving nonlinear equations. The first method is obtained from third-order one given by Homeier using linear interpolation, and second Traub divided differences. requires three evaluations function evaluation derivative, thereby enhancing efficiency index. method, computation a derivative reduced approximating...

A one-parameter 4-point sixteenth-order King-type family of iterative methods which satisfy the famous Kung-Traub conjecture is proposed. The convergence of the family is proved, and numerical experiments are carried out to find the best member of the family. In most experiments, the best member was found to be a sixteenth-order Ostrowski-type method.

Two classes of Iteration Functions (IFs) are derived in this paper. The first (one-point IFs) was originally derived by Joseph Traub using a different approach to ours (simultaneous IFs). The second is new and is demonstrably shown to be more informationally efficient than the first. These IFs apply to polynomials with arbitrary complex coefficients and zeros, which can also be multiple.

Lymphocytic choriomeningitis virus (LCMV)-specific CD8(+) T cell responses are considered to be independent of CD28-B7 costimulation. However, the LCMV-specific response has never been evaluated in B7.1/B7.2(-/-) mice. For this reason, we decided to study the T cell response in B7.1/B7.2(-/-) mice infected with two different strains of LCMV, one (Traub strain) typically causing low-grade chroni...