mwang@watmath.UUCP (mwang) (05/25/83)
_U_N_I_V_E_R_S_I_T_Y _O_F _W_A_T_E_R_L_O_O _D_E_P_A_R_T_M_E_N_T _O_F _C_O_M_P_U_T_E_R _S_C_I_E_N_C_E _j_o_i_n_t_l_y _w_i_t_h _D_E_P_A_R_T_M_E_N_T _O_F _A_P_P_L_I_E_D _M_A_T_H_E_M_A_T_I_C_S PRESENTS A SEMINAR ON On deBoor and Golub's Reconstruction of Jacobean Matrix from Spectral Data with Prof. G.M.L. Gladwell Civil Engineering Department University of Waterloo DATE: Tuesday, May 31, 1983 at 3.30 PM ROOM: MC 6091A ABSTRACT deBoor and Golub have shown how a Jacobean matrix A may be constructed from two spectra, the eigenvalues of A and of the matrix B obtained by deleting the last row and column of A . The reconstruction, which relies on the 3-term recurrence relation satisfied by sequences of orthogonal polynomials, is found to be numerically very stable. May 25, 1983