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第9章 矩阵特征值问题的数值方法

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第9章矩阵特征值问题的数值方法

9.1 特征值与特征向量

9.2 Hermite矩阵特征值问题9.3 Jacobi方法9.4 对分法9.5 乘幂法9.6 反幂法9.7 QR方法

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,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。

London, England: Millennium ('Wobbly') Bridge(1998-2002, Norman Foster and Partners and Arup Associates)

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 Domein North Greenwich, so far the largest single roofed structure in the world, London Eyeright across Westminster, which becomes so far the largest

observation wheel in the world, and the Millennium Bridgethat 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 vibratewith 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!

第9章 矩阵特征值问题的数值方法

第9章矩阵特征值问题的数值方法9.1特征值与特征向量9.2Hermite矩阵特征值问题9.3Jacobi方法9.4对分法9.5乘幂法9.6反幂法9.7QR方法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,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
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