On the solution of the nonlinear matrix equation Xn=f(X)

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Jung, Changdo, et al. “On the Solution of the Nonlinear Matrix Equation Xn=f(X)”. Linear Algebra and Its Applications, vol. 430, no. 8-9, 2009, pp. 2042-5, https://doi.org/10.1016/j.laa.2008.11.013.
Jung, C., Kim, H.-M., & Lim, Y. (2009). On the solution of the nonlinear matrix equation Xn=f(X). Linear Algebra and Its Applications, 430(8-9), 2042-2052. https://doi.org/10.1016/j.laa.2008.11.013
Jung, Changdo, Hyun-Min Kim, and Yongdo Lim. “On the Solution of the Nonlinear Matrix Equation Xn=f(X)”. Linear Algebra and Its Applications 430, no. 8-9 (2009): 2042-52. https://doi.org/10.1016/j.laa.2008.11.013.
Jung C, Kim HM, Lim Y. On the solution of the nonlinear matrix equation Xn=f(X). Linear Algebra and its Applications. 2009;430(8-9):2042-5.
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Industrial engineering
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Refrences
Title Journal Journal Categories Citations Publication Date
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  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
19 2007
Improved methods and starting values to solve the matrix equations X±A∗X-1A=I iteratively Mathematics of Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2005
On the semigroup of standard symplectic matrices and its applications Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
9 2004
On the positive definite solutions of the matrix equations Xs±ATX-tA=In Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2003
Refrences Analysis
The category Science: Mathematics 17 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and Mathematics of Computation. The chart below illustrates the number of referenced publications per year.
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Citations Analysis
The category Science: Mathematics 12 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The generalized centro-symmetric and least squares generalized centro-symmetric solutions of the matrix equation AYB + CYTD = E and was published in 2011. The most recent citation comes from a 2023 study titled Fixed point theorems for interpolative Ćirić-type contraction mappings in CAT (0) space with application to hyperbolical rotation matrix. This article reached its peak citation in 2020, with 4 citations. It has been cited in 9 different journals, 11% of which are open access. Among related journals, the The Journal of Analysis cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year