Factorizations and geometric means of positive definite matrices

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Cite
Lim, Yongdo. “Factorizations and Geometric Means of Positive Definite Matrices”. Linear Algebra and Its Applications, vol. 437, no. 9, 2012, pp. 2159-72, https://doi.org/10.1016/j.laa.2012.05.039.
Lim, Y. (2012). Factorizations and geometric means of positive definite matrices. Linear Algebra and Its Applications, 437(9), 2159-2172. https://doi.org/10.1016/j.laa.2012.05.039
Lim, Yongdo. “Factorizations and Geometric Means of Positive Definite Matrices”. Linear Algebra and Its Applications 437, no. 9 (2012): 2159-72. https://doi.org/10.1016/j.laa.2012.05.039.
Lim Y. Factorizations and geometric means of positive definite matrices. Linear Algebra and its Applications. 2012;437(9):2159-72.
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Refrences
Title Journal Journal Categories Citations Publication Date
Symmetric Γ-submanifolds of positive definite matrices and the Sylvester equation XM=NX Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2011
Stopping criteria for the Ando–Li–Mathias and Bini–Meini–Poloni geometric means Linear Algebra and its Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
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4 2011
Monotonic properties of the least squares mean Mathematische Annalen
  • Science: Mathematics
2011
An effective matrix geometric mean satisfying the Ando–Li–Mathias properties 2010
A note on computing matrix geometric means Advances in Computational Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
14 2010
Refrences Analysis
The category Science: Mathematics 18 is the most frequently represented among the references in this article. It primarily includes studies from Linear Algebra and its Applications and SIAM Journal on Matrix Analysis and Applications. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
The Difference of Convex Algorithm on Hadamard Manifolds Journal of Optimization Theory and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
2024
Weighted spectral geometric means and matrix equations of positive definite matrices involving semi-tensor products

AIMS Mathematics 2024
Optimization of quantum divergences between unitary orbits Quantum Information Processing
  • Science: Physics
  • Science: Physics
  • Science: Mathematics
  • Science: Physics
2023
Revisit on spectral geometric mean Linear and Multilinear Algebra
  • Science: Mathematics
3 2023
Metric geometric means with arbitrary weights of positive definite matrices involving semi-tensor products

AIMS Mathematics 1 2023
Citations Analysis
The category Science: Mathematics 8 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Factorizations of invertible density matrices and was published in 2014. The most recent citation comes from a 2024 study titled Weighted spectral geometric means and matrix equations of positive definite matrices involving semi-tensor products. This article reached its peak citation in 2023, with 3 citations. It has been cited in 8 different journals, 25% of which are open access. Among related journals, the Linear Algebra and its Applications 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