@phdthesis{pernet:tel-01094212, TITLE = {{High Performance and Reliable Algebraic Computing}}, AUTHOR = {Pernet, Cl{\'e}ment}, URL = {https://theses.hal.science/tel-01094212}, SCHOOL = {{Universit{\'e} Joseph Fourier, Grenoble 1}}, YEAR = {2014}, MONTH = Nov, KEYWORDS = {BLAS routines ; Echelon form ; PLUQ triangularization ; Rank Profile ; Strassen-Winograd's algorithm ; Dataflow scheduling ; Characteristic polynomial ; Frobenius normal form ; Reed Solomon codes ; CRT codes ; Fault tolerance ; Sparse interpolation ; Interpolation creuse ; ABFT ; Polyn{\^o}me caract{\'e}ristique ; Ordonnacement par flot de donn{\'e}es ; algorithme de Strassen-Winograd ; Profil de rang ; routine BLAS ; forme {\'e}chelonn{\'e}e ; factorisation PLUQ ; Tol{\'e}rance aux fautes ; Codes CRT ; Codes de Reed-Solomon ; Forme normale de Frobenius}, TYPE = {Habilitation {\`a} diriger des recherches}, PDF = {https://theses.hal.science/tel-01094212/file/hdr.pdf}, HAL_ID = {tel-01094212}, HAL_VERSION = {v1}, }