Homework 3 Fang Gong



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Homework 3

  • Fang Gong

  • gongfang@ucla.edu






Taylor series expansion: A=-G-1C, R=G-1B

  • Taylor series expansion: A=-G-1C, R=G-1B













[3] Modify the PRIMA code with single frequency expansion to multiple points expansion. You should use a vector fspan to pass the frequency expansion points. Compare the waveforms of the reduced model between the following two cases:

  • [3] Modify the PRIMA code with single frequency expansion to multiple points expansion. You should use a vector fspan to pass the frequency expansion points. Compare the waveforms of the reduced model between the following two cases:

  • 1. Single point expansion at s=1e4.

  • 2. Four-point expansion at s=1e3, 1e5, 1e7, 1e9.



Matlab Files

  • We provide two matlab files:

  • prima.m

  • PRIMA on single point expansion

  • demo2_11.m

  • perform single-point MOR, calculate and compare corresponding time and frequency domain response between original matrix and MATLAB reduced matrix. prima function is called.














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