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Implementation of Matlab matfun Toolkit Based on MSVL

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Structured Object-Oriented Formal Language and Method (SOFL+MSVL 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13854))

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Abstract

The matfun toolkit of the scientific computing software Matlab contains more than 40 commonly used matrix computing related functions, which have important applications in artificial intelligence, big data and other fields. This paper makes use of the modeling, simulation and verification language MSVL to imitate all basic functions in the matfun function library, and gives several representative function algorithms and implementation details. Finally we use these functions to design and implement a practical application.

The research is supported by the National Natural Science Foundation of China under Grant No. 61133001, 61572386, 61420106004 and 91418201.

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References

  1. Moszkowski, B.C.: Executing Temporal Logic Programs. Cambridge University Press, Cambridge (1986)

    MATH  Google Scholar 

  2. Duan, Z.: Temporal Logic and Temporal Logic Programming. Science Press, Beijing (2005)

    Google Scholar 

  3. Duan, Z., Tian, C., Zhang, L.: A decision procedure for propositional projection temporal logic with infinite models. Acta Informatica 45(1), 43–78 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  4. Duan, Z., Yang, X., Koutny, M.: Framed temporal logic programming. Sci. Comput. Program. 70(1), 31–61 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  5. Duan, Z., Tian, C.: A practical decision procedure for propositional projection temporal logic with infinite models. Theor. Comput. Sci. 554, 169–190 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zhang, N., Duan, Z., Tian, C.: Model checking concurrent systems with MSVL. Sci. China Inf. Sci. 59(11), 1–3 (2016)

    Article  Google Scholar 

  7. Zhang, N., Duan, Z., Tian, C.: A mechanism of function calls in MSVL. Theor. Comput. Sci. 654, 11–25 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  8. Peng, Y., Duan, Z., Zhang, N.: Design and Implementation of MSVL Compiler Based on Normal Form. Xidian University (2022)

    Google Scholar 

  9. Pseudo-inverse Matrix. https://www.jianshu.com/p/609fa0cce409

  10. Xu, D., Meng, X.: Matlab Function Library Query Dictionary. Document (2006). https://ww2.mathworks.cn/help/matlab/index.html

  11. Singular Value Decomposition. https://zhuanlan.zhihu.com/p/29846048

  12. Golub, G.H., Van Loan, C.F.: Matrix Computations, Sections 6.5.2-6.5.3, 4th edn., pp. 335–338. Johns Hopkins University Press, Baltimore (2013)

    Google Scholar 

  13. Higham, N.J.: The scaling and squaring method for the matrix exponential revisited. SIAM J. Matrix Anal. Appl. 26(4), 1179–1193 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  14. Matrix Computations. Posts and Telecom Press (2014)

    Google Scholar 

  15. Golub, G.H., Van Loan, C.F.: Matrix Computation, p. 384. Johns Hopkins University Press, Baltimore (1983)

    Google Scholar 

  16. Moler, C.B., Van Loan, C.F.: Nineteen dubious ways to compute the exponential of a matrix. SIAM Rev. 20, 801–836 (1978). Reprinted and updated as Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later? SIAM Review 45, 2003, pp. 3–49

    Article  MathSciNet  MATH  Google Scholar 

  17. Givens Transform. https://www.cnblogs.com/reasno/p/9643529.html

  18. Matlab Document. https://ww2.mathworks.cn/help/matlab/index.html

  19. Linear Algebra and Its Application. China Machine Press (2020)

    Google Scholar 

  20. Detailed Explanation of the Principle of Principal Component Analysis (PCA). https://zhuanlan.zhihu.com/p/37777074

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Correspondence to Nan Zhang or Zhenhua Duan .

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Feng, X., Zhang, N., Duan, Z. (2023). Implementation of Matlab matfun Toolkit Based on MSVL. In: Liu, S., Duan, Z., Liu, A. (eds) Structured Object-Oriented Formal Language and Method. SOFL+MSVL 2022. Lecture Notes in Computer Science, vol 13854. Springer, Cham. https://doi.org/10.1007/978-3-031-29476-1_4

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  • DOI: https://doi.org/10.1007/978-3-031-29476-1_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-29475-4

  • Online ISBN: 978-3-031-29476-1

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