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Volume 11 Issue 1
Jan.  1989
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Ren Jianmin, Zhang Yimen. A SPARSE MATRIX TECHNIQUE FOR SIMULATING SEMICONDUCTOR DEVICES AND ITS ALGORITHMS[J]. Journal of Electronics & Information Technology, 1989, 11(1): 44-49.
Citation: Ren Jianmin, Zhang Yimen. A SPARSE MATRIX TECHNIQUE FOR SIMULATING SEMICONDUCTOR DEVICES AND ITS ALGORITHMS[J]. Journal of Electronics & Information Technology, 1989, 11(1): 44-49.

A SPARSE MATRIX TECHNIQUE FOR SIMULATING SEMICONDUCTOR DEVICES AND ITS ALGORITHMS

  • Received Date: 1987-04-09
  • Rev Recd Date: 1988-07-25
  • Publish Date: 1989-01-19
  • A novel sparse matrix technique for the numerical analysis of semiconductor devices and its algorithms are presented. Storage scheme and calculation procedure of the sparse matrix are discribed in details. The sparse matrix technique in the device simulation can decrease storage greatly with less CPU time and its implementation is very easy. Some algorithms and calculation examples to show the time and space characteristics of the sparse matrix are given.
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  • R. S. Varga, Matrix Iterative Analysis, Englewood Cliff, NF: Prentice-Hall, 1962, pp. 161-208.[2]D. E. Knuth, The Art of Computer Programming, Vol. 1, Fundamental Algorithms, Addison-Wesley: Reading, MA. pp. 14-65.[3]W. C. Rheinboldt, C. K. Mesztenyi, Programs for the Solution of Large Sparse Matrix Problems Based on the Arc-Graph Structure, Computer Science Center, University of Maryland, College Park, MD. Technical Report TR-262.[4]I. S. Duff, Proc. IEEE 65(1977), 500-535.[5]A. H. Sherman, On the Efficient Solution of Sparse Systems of Linear and Nonlinear Equation, Ph. D.Thesis, Department of Computer Science, Yale University, New Haven, CT. Report No. 46, pp. 31-50.[6]R. E. Bank, et al., Computational Aspects of Semiconductor Device Simulation, Process and Device Model-[7]ing, Elsevier Science Publishers B, V. (North-Holland), 1986, pp. 229-261.[8]Y. Saad, SIAM J. Numer. Anal., 19(1982) 3, 485-506.[9]J. A. Meijerink, H. A. Vamder Vorst, Math. of Computation, 31(1977)137, 148-162.[10]P, Sergio, Sparse Matrix Technology, Academic Press (Harcourt Brace Jovanovich, Publishers), 1984, pp.8-37, pp. 288-300.[11]S. Selberherr.[J].A. Schtz, H. W. Ptzl, IEEE Trans. on ED, ED-27(1980).1540,:-
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