Question

Recall the update formula of the Lanczos algorithm ite the matrices Tk +1, Qk +1, and Π+1 as T; Ik+1 k-1 Pk-1 Ok Co 0 1 a2 k+1 3k Then the resulting decomposition has a matrix form Suppose the Lanczos algorithm is executed for a particular symmetric and real matrix A E Rmxrn and vector b until at some step k

Answer 1

forma of the lanczos algo Hom i hence matri cer Tri, arey and , a IC kt, - 42 fSr 차)

or 1C

0 と-) らの toィ XSH Is Sza,1,2,..,k, the eigen volve pore TH ナ!

(D Thus λ14 , is on eigen volve of A. KtI