An improvement of newton – krylov method for solution of nonlinear equations

Authors

  • Thanh-Giang Nguyen-Thi University of Information and Communication Technology, Thai Nguyen University, Thai Nguyen, Vietnam

DOI:

https://doi.org/10.56764/hpu2.jos.2023.1.2.46-52

Abstract

Information security is always a crucial issue in the continuously developing society. There are many solutions that have been proposed to secure information. In this article, the author discusses the introduction of encryption using knowledge from the Linear Algebra course to first-year students so that they can perceive the application of Linear Algebra. The information encryption process uses the knowledge of matrices, matrix operations, inverse matrices, transposition, Gauss elimination, linear transformation....

References

. Lester S. Hill “Cryptography in an Algebraic Alphabet,” American Mathematical Monthly, 36 (June– July

, pp. 306–312;

. Lester S. Hill “Concerning Certain Linear Transformation Apparatus of Cryptography,” American Mathematical Monthly, 38 (March 1931), pp. 135–154.).

. Howard Anton, Chris Rorres “Elementary linear algebra”, copyrighted Material (2005).

. V. Levenshtein, Application of Hadamard matrices to one problem of coding theory, Problemy Kibernetiki 5, (1961), 123–136.

. R. Lidl and H. Niederreiter, Finite Fields, Addison-Wesley, Reading, MA (1983); now distributed by Cambridge University Press.

. Raymond Hill, (1993). "A First Course in Coding Theory", Clarendon Press, Oxrord, USA. ISBN : 0-19-853803-0.

. Yehuda Lindell, “Introduction to Coding Theory”, Lecture Notes, Department of Computer Science Bar-Ilan University , Israel (2010).

. Tom Richardson, Rudiger Urbanke. “Modern Coding Theory”. Cambridge University Press (2008).

. Đặng Văn Chuyết, Nguyễn Tuấn Anh.(1998)“Basic Communication Theory”. Education publishing House.

. Phạm Huy Điển, Hà Huy Khoái, Encryption. Mathematical Foundations & Applications, VNU Publishing House, 2004.

. Đặng Văn Chuyết, Nguyễn Tuấn Anh, Basic Information Theory (books 1 & 2), Education Publishing House, 1998.

. Nguyễn Thúy Vân, Cipher Theory, Science and Technics Publishing House, 2000.

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Published

28-04-2023

How to Cite

Nguyen-Thi, T.-G. (2023). An improvement of newton – krylov method for solution of nonlinear equations. HPU2 Journal of Science: Natural Sciences and Technology, 2(1), 46–52. https://doi.org/10.56764/hpu2.jos.2023.1.2.46-52

Volume and Issue

Vol. 2 No. 1 (2023): HPU2.Nat.Sci.Tech

Section

Natural Sciences and Technology

Copyright and License

Copyright (c) 2023 Journal of Science - HPU2

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This work is licensed under a Creative Commons Attribution 4.0 International License.