tema 2 cna - Liacu Bogdan 331AA TEMA 2 1.Sa se precizeze:...

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Unformatted text preview: Liacu Bogdan 331AA TEMA 2 1.Sa se precizeze: a) Sa se precizeze cum se pot genera matrice cu valori proprii oarecare (a se vedea rand)-pentru a genera o matrice oarecare de orice tip(adica patratica, sau oarecare), folosim functia rand: A=rand(m,n); pt matrice oarecare A=rand(m); pt agenra o matrice de mxm b) Sa se precizeze cum se pot obtine matrice triunghiulare stabile folosind datele gemerate cu rss si ssdata-rss genereaza matrice oarecare stabila, iar prin aducerea acesteia la forma Schur se pastreaza valorile proprii, deci se pastreaza stabilitatea: ss = rss(n); [A, B, C, D] = ssdata(ss); [U, S] = schur(A); c) Sa se precizeze cum se pot genera aleatoriu matrice triunghiulare. A = triu(rand(5)) pentru matrici superior triunghiulare A = tril(rand(5)) pentru matrici inferior triunghiulare 2. Sa se testeze 4 din algoritmii de rezolvare a ecuatiilor Sylvester si Liapunov cu date de ordinul 10 generate automat in Matlab. Matricele cu care se va lucra: S, T superior triunghiulare, A,B,C matrici oarecare care indeplinesc conditiile impuse de algoritm: >> S=triu(rand(10)) S = 0.5828 0.2091 0.4154 0.2140 0.6833 0.4514 0.6085 0.0841 0.1210 0.2319 0 0.3798 0.3050 0.6435 0.2126 0.0439 0.0158 0.4544 0.4508 0.2393 0 0 0.8744 0.3200 0.8392 0.0272 0.0164 0.4418 0.7159 0.0498 0 0 0 0.9601 0.6288 0.3127 0.1901 0.3533 0.8928 0.0784 0 0 0 0 0.1338 0.0129 0.5869 0.1536 0.2731 0.6408 0 0 0 0 0 0.3840 0.0576 0.6756 0.2548 0.1909 0 0 0 0 0 0 0.3676 0.6992 0.8656 0.8439 0 0 0 0 0 0 0 0.7275 0.2324 0.1739 0 0 0 0 0 0 0 0 0.8049 0.1708 0 0 0 0 0 0 0 0 0 0.9943 >> T=triu(rand(10)) T = 0.4398 0.9342 0.1370 0.4225 0.2974 0.3759 0.1939 0.6273 0.7165 0.1146 0 0.2644 0.8188 0.8560 0.0492 0.0099 0.9048 0.6991 0.5113 0.6649 0 0 0.4302 0.4902 0.6932 0.4199 0.5692 0.3972 0.7764 0.3654 0 0 0 0.8159 0.6501 0.7537 0.6318 0.4136 0.4893 0.1400 0 0 0 0 0.9830 0.7939 0.2344 0.6552 0.1859 0.5668 0 0 0 0 0 0.9200 0.5488 0.8376 0.7006 0.8230 0 0 0 0 0 0 0.9316 0.3716 0.9827 0.6739 0 0 0 0 0 0 0 0.4253 0.8066 0.9994 0 0 0 0 0 0 0 0 0.7036 0.9616 0 0 0 0 0 0 0 0 0 0.0589 >> A=rand(10) A = 0.3603 0.4319 0.7327 0.3567 0.6700 0.9090 0.8121 0.9566 0.1879 0.2460 0.5485 0.6343 0.4222 0.4983 0.2009 0.5962 0.6101 0.1472 0.4906 0.5874 0.2618 0.8030 0.9614 0.4344 0.2731 0.3290 0.7015 0.8699 0.4093 0.5061 0.5973 0.0839 0.0721 0.5625 0.6262 0.4782 0.0922 0.7694 0.4635 0.4648 0.0493 0.9455 0.5534 0.6166 0.5369 0.5972 0.4249 0.4442 0.6109 0.5414 0.5711 0.9159 0.2920 0.1133 0.0595 0.1614 0.3756 0.6206 0.0712 0.9423 0.7009 0.6020 0.8580 0.8983 0.0890 0.8295 0.1662 0.9517 0.3143 0.3418 0.9623 0.2536 0.3358 0.7546 0.2713 0.9561 0.8332 0.6400 0.6084 0.4018 0.7505 0.8735 0.6802 0.7911 0.4091 0.5955 0.8386 0.2473 0.1750 0.3077 0.7400 0.5134 0.0534 0.8150 0.4740 0.0287 0.4516 0.3527 0.6210 0.4116 >> B=rand(10) B = 0.2859 0.7241 0.8289 0.3663 0.2219 0.0490 0.2093 0.1998 0.5979 0.9995 0.3941 0.2816 0.1663 0.3025 0.7037 0.7553 0.4551 0....
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tema 2 cna - Liacu Bogdan 331AA TEMA 2 1.Sa se precizeze:...

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