Triangularyzacja Cholesky'ego i normy macierzy

Metody rozwiązywania układów równań liniowych1012312.0.939586A1212331312b13.14.x lsolve ( A b)1.0979210.5450593121415.0.870646d A 1.7943 10 43.162278000L cholesky ( A)0.3162280.6324560.9486833.4496380.9276340.2029203.4262950.463543003.583846d L 133.951484d 2 1.7943 10 4U L T 03.16227800.3162283.44963800.6324560.9276343.4262950.9486830.202920.4635430003.5838463.7947330.939586y lsolve ( L b)4.1163742.271116x1 lsolve ( U y)1.0979210.5450593.1202610.870646

M A 1 0.0116480.1106280.0165520.0205090.0165520.0116487.412361 10 3 0.0105330.0908990.0239090.0239090.0866080.0205097.412361 10 30.0105330.077858x2M b0.9395861.0979210.5450590.870646rank ( A) 4norm1 ( A) 20 - Norma L17.563102norm2 ( A) 17.383695 - Norma L2norme ( A) 25.787594 - Norma Euklidesowa (Frobeniusa)Λaeigenvals( A)9.16929917.383695normi ( A) 20 - Norma ∞14.883904133A i j2225.787594 - Norma Euklidesowa (Frobeniusa)i 0 j 0max33A 1 j03A 0 j03A 2 j0A 3 j 20 - Norma ∞j0jjj