%0 Journal Article %T Performance Analysis of Modified Gram-Schmidt Cholesky Implementation on 16 bits-DSP-chip %+ CEDRIC. Traitement du signal et architectures électroniques (CEDRIC - LAETITIA) %A Maoudj, Rabah %A Fety, Luc %A Alexandre, Christophe %< avec comité de lecture %@ 2210-142X %J International Journal of Computing and Digital Systems %I University of Bahrain %V 2 %N 1 %P 21-27 %8 2013-01-01 %D 2013 %R 10.12785/ijcds/020103 %K fixed-point %K cholesky %K qr %K system solving %K dsp %K signal processing %Z Engineering Sciences [physics]/ElectronicsJournal articles %X This paper focuses on the performance analysis of a linear system solving based on Cholesky decomposition and QR factorization, implemented on 16bits fixed-point DSP-chip (TMS320C6474). The classical method of Cholesky decomposition has the advantage of low execution time. However, the modified Gram-Schmidt QR factorization performs better in term of robustness against the round-off error propagation. In this study, we have proposed a third method called Modified Gram-Schmidt Cholesky Decomposition. We have shown that it provides a compromise of the two performance criterias cited above. A joint theoretical and experimental analysis of global performance of the three methods has been presented and discussed. %G English %2 https://cnam.hal.science/hal-02448976/document %2 https://cnam.hal.science/hal-02448976/file/IJCDS020103.pdf %L hal-02448976 %U https://cnam.hal.science/hal-02448976 %~ CNAM %~ CEDRIC-CNAM %~ HESAM-CNAM %~ HESAM