Valérie  FRAYSSÉ Senior Researcher

Habilitation à Diriger des Recherches

Research Interests

• Numerical Linear Algebra
• Finite precision computations , Qualitative computing
• Eigenvalue computation
• Pseudospectra of matrix and matrix pencils, spectral portrait
• Software developments (GMRES and FGMRES), High Performance Computing

Some recent publications

• F. Chaitin-Chatelin and V. Frayssé. Lectures on Finite Precision Computations. SIAM, Philadelphia, 1996.
• V. Frayssé, L. Giraud and H. Kharraz-Aroussi, (1998). On the influence of the orthogonalization scheme on the parallel performance of GMRES. In D. Pritchard and J. Reeve, editors, EUROPAR'98 Parallel Processing, volume 1470, pages 751--762. Springer.
• V. Frayssé, S. Gratton,and V. Toumazou, (2000), Structured backward error for linear systems of the type A*Ax =b. Extension to the rectangular case, BIT, 40(1):74-83. See alsoTech. Rep. TR/PA/99/05, CERFACS.
• S. Gratton, V. Frayssé and V. Toumazou, (1998), On a structured backward error analysis for linear systems of the type A*Ax = b, Tech. Rep. TR/PA/98/01, CERFACS.
• T. Braconnier, V.Frayssé and J.-C. Rioual (1997). ARNCHEB users' guide : Solution of large non symmetric or non hermitian eigenvalue problems by the arnoldi-tchebycheff method. Tech. Rep. TR/PA/97/50, CERFACS.
• V. Frayssé, L. Giraud and V. Toumazou, (1996), Parallel computation of spectral portraits on the Meiko CS2, in High-Performance Computing and Networking, H. Liddell and A. Colbrook and B. Hertzberger and P. Sloot, eds., vol 1067, Springer-Verlag, 312-318. ( postscript file or html pages)
• V. Frayssé and V. Toumazou, (1996), Note on the normwise perturbation theory for the regular generalized eigenproblem Ax=lBx, J. Numer. Linear Algebra Appl. 5(1):1--10, 1998.
• V. Frayssé, M. Gueury, F. Nicoud and V. Toumazou, (1996), Spectral portraits for matrix pencils, Tech. Rep. TR/PA/96/19, CERFACS.

Some links

• Qualitative computing group at Cerfacs
• Reports and publications of the Parallel Algorithms Project at Cerfacs
• PINEAPL project
• Matrix Market pages

fraysse@cerfacs.fr