第八章矩阵特征值计算.pptVIP

Ch5 矩阵特征值与特征向量的计算1.引言 工程实践中有多种振动问题，如桥梁或建筑物的振动，机械机件、飞机机翼的振动，及一些稳定性分析和相关分析可转化为求矩阵特征值与特征向量的问题。 I decide that I have to write something today, otherwise I would not know how to speak English here. This is a very quick story about a bridge. ? London launched three major construction projects to celebrate the arrival of the Millennium. After all, Greenwich (pronounced green-ich) is supposed to be (supposed to be?!) where the prime meridian lies, and the place where the Millennium officially starts in the world. The three projects are the Millennium Dome in North Greenwich, so far the largest single roofed structure in the world, London Eye right across Westminster, which becomes so far the largest observation wheel in the world, and the Millennium Bridge that links Southeast London with St. Paul’s Cathedral, which is currently…well...not swinging any more, it is said. The bridge was designed by Imperial College, a college of my former university. On the very first day that the bridge was open to public, there were simply so many people going there to walk from the south bank to St. Paul’s that the weight completely exceeded the architect’s expectation. ? The slender steel truss bridge began to vibrate with a million people on there. The opening ceremony ended up in an embarrassing vertigo. ? Millennium left Londoners a happy adage about swinging bridge, meaning fancy technology that looks good but functions in a funny fashion. ? Am I using too many F’s here? Or is it simply because my tongue starts to swing in the same direction when I am writing about this wobbly bridge? ? Next time you visit London, I strongly recommend this place. After all, with a little swing, this is a shortcut to dash into St. Paul’s directly from the southeast! 2.幂法 * 石家庄铁道学院 数理系 London, England: Millennium (Wobbly) Bridge (1998-2002, Norman Foster and Partners and Arup Associates) G: Google Matrix, “the world’s largest matrix computation”. 4,300,000,000 x: