@techreport{agullo:hal-03776837, TITLE = {{The backward stable variants of GMRES in variable accuracy}}, AUTHOR = {Agullo, Emmanuel and Coulaud, Olivier and Giraud, Luc and Iannacito, Martina and Marait, Gilles and Schenkels, Nick}, URL = {https://inria.hal.science/hal-03776837}, TYPE = {Research Report}, NUMBER = {RR-9483}, PAGES = {1-77}, INSTITUTION = {{Inria}}, YEAR = {2022}, MONTH = Sep, KEYWORDS = {Householder reflection ; lossy compression ; tensor ; tensor-train ; GMRES ; backward stability ; variable accuracy ; mixed precision ; Modified Gram-Schmidt ; GMRES ; stabilit{\'e} inverse ; pr{\'e}cision variable ; pr{\'e}cision mixe ; Gram-Schmidt Modifi{\'e} ; r{\'e}flexion d'Householder ; compression avec perte ; tenseur ; train de tenseur}, PDF = {https://inria.hal.science/hal-03776837v3/file/RR-9483.pdf}, HAL_ID = {hal-03776837}, HAL_VERSION = {v3}, }