We analyse the possible recursive definitions of principal angles and vectors in complex vector spaces and give a new projector based definition. This enables us to derive important properties of the principal vectors and to generalize a result of Björck and Golub (Math. Comput. 1973; 27(123):579–594), which is the basis of today’s computational procedures in real vector spaces. We discuss othe...

We discuss the method of Cyclic Reduction for solving special systems of linear equations that arise when discretizing partial differential equations. In connection with parallel computations the method has become very important. This paper has been published in the Proceedings of the Workshop on Scientific Computing : 10-12 March, 1997, Hong Kong, editor-in-chief, Gene Howard Golub ; managing ...

Incorporating in Delaware can be expensive. Corporations pay up to $180,000 annually for this simple privilege—a figure that is substantially higher than incorporation in any other state. In their controversial article, Price Discrimination in the Market for Corporate Law, Professors Marcel Kahan and Ehud Kamar show that Delaware’s ability to charge a premium for incorporations, in the form of ...

J. DEQUEKER, C. HAWKEY,* A. KAHAN,† K. STEINBRÜCK,‡ C. ALEGRE,§ E. BAUMELOU,¶ B. BÉGAUD,d H. ISOMÄKI,** G. LITTLEJOHN,†† J. MAU‡‡ and S. PAPAZOGLOU§§ ON BEHALF OF THE SELECT STUDY GROUP Division of Rheumatology, University Hospitals, K.U. Leuven, Belgium, *University Hospital Queen’s Medical Centre, Nottingham, †Hôpital Cochin, Paris, France, ‡Sportklinik Stuttgart, Germany, §Hospital de Enferm...

In a naming task with visually presented words, Prioli and Kahan (2015) reported that negatively valenced words were identified more slowly than neutral words in a condition with continual flash suppression (CFS), which involves showing the dominant eye changing Mondrian patterns, delaying awareness for the word shown to the other eye. However, when these same words were shown to both eyes (i.e...

The simplex algorithm computes the simplex multipliers by solving a system (or two triangular systems) at each iteration. This note offers an efficient approach to updating the simplex multipliers in conjunction with the Bartels-Golub and Forrest-Tomlin updates for LU factors of the basis. It only solves one triangular system. The approach was implemented within and tested against MINOS 5.51 on...

Abstract We provide upper bounds on the perturbation of invariant subspaces normal matrices measured using a metric space vector $\mathbb{C}^{n}$ C n in terms spectrum both unperturbed and perturbed as well matrix only. The results presented give tighter than Davis–Kaha...