【摘要】 Ｌａｎｃｚｏｓ方法解大型矩阵逆谱问题的稳定性朱本仁，王桂松（山东大学）ＳＴＡＢＩＬＩＴＹＯＦＴＨＥＬＡＮＣＺＯＳＡＬＧＯＲＩＴＨＭＩＮＳＯＬＶＩＮＧＬＡＲＧＥＩＮＶＥＲＳＥＳＰＥＣＴＲＡＬＰＲＯＢＬＥＭＳ￥ＺｈｕＢｅｎ－ｒｅｎ；ＷａｎｇＧｕｉ－ｓｏｎ...更多还原

【Abstract】 Abstract In this work an analysis of the stability of Lanczos algorithm in solving large ISP leads to Polynomial grownth-order of the eigenfunctions of the matrix as its order n→ +∞in the stationary state. Secondly, a perturbed bound is derived in order to keep the same grownth-order for the perturbed matrix. Some practically important examples are persented, and numerical tests strongly support the results.更多还原