Kung-Traub conjecture states that an iterative method without memory for finding the simple zero of a scalar equation could achieve convergence order 2d−1, and d is the total number of function evaluations. In an article “Babajee, D.K.R. On the Kung-Traub Conjecture for Iterative Methods for Solving Quadratic Equations, Algorithms 2016, 9, 1, doi:10.3390/a9010001”, the author has shown that Kun...

A new family of eighth-order derivative-freemethods for solving nonlinear equations is presented. It is proved that these methods have the convergence order of eight. These new methods are derivative-free and only use four evaluations of the function per iteration. In fact, we have obtained the optimal order of convergence which supports the Kung and Traub conjecture. Kung and Traub conjectured...

Although Gaussian elimination uses O(n) operations to invert an arbitrary matrix, matrices with a special Vandermonde structure can be inverted in only O(n) operations by the fast Traub algorithm. The original version of Traub algorithm was numerically unstable although only a minor modification of it yields a high accuracy in practice. The Traub algorithm has been extended from Vandermonde mat...

Chemical characteristics assigned to trajectory clusters during the MINOS campaign M. Traub, H. Fischer, M. de Reus, R. Kormann, J. Heland, H. Ziereis, H. Schlager, R. Holzinger, J. Williams, C. Warneke, J. de Gouw, and J. Lelieveld Max-Planck-Institute for Chemistry, Mainz, Germany Institute for Atmospheric Physics, DLR, Oberpfaffenhofen, Germany NOAA Aeronomy Laboratory, Boulder, Colorado, US...

Andreas Traub (Bearb.), Johann Samuel Welter (1650-1720). Das geistliche Werk: Kantaten, Magnificat, Kirchenlieder (Denkmäler der Musik in Baden-Württemberg, Bd. 1), München (Strube) 1993. 210 S.

In this paper we compare the numerical properties of the well-known fast O(n 2) Traub and Bjj orck-Pereyra algorithms, which both use the special structure of a Vandermonde matrix to rapidly compute the entries of its inverse. The results of numerical experiments suggest that the Parker variant of what we shall call the Parker-Traub algorithm allows one not only fast O(n 2) inversion of a Vande...

Musikalische Fragmente. Mittelalterliche Liturgie als Einbandmakulatur. Bearbeitet von Andreas Traub und Annekathrin Miegel. Katalog zur Ausstellung des Landesarchivs Baden-Württemberg u. a. Stuttgart (W. Kohlhammer) 2011. 80 S., Abb.

Medwayella independencia, a new species of flea, is described from the tupaiid host Urogale everetti (Thomas) from Mindanao Island, Philippines. Several other species of fleas are also recorded from the Philippines including a single male of Lentistivalius philippinensis Hastriter and Bush, 2013 (previously known only from two males), the bat fleas Thaumapsylla breviceps orientalis Smit and Tha...