논문KCI 등재
Kronecker sum decomposition and its applications
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
We develop here, two types of Kronecker sum decompositions KSGD and KSID. We study Kronecker sum decomposition KSD, KSGD, and KSID and its algorithms. We conclude with some applications of the Kronecker sum decomposition.
Abstract
We develop here, two types of Kronecker sum decompositions KSGD and KSID. We study Kronecker sum decomposition KSD, KSGD, and KSID and its algorithms. We conclude with some applications of the Kronecker sum decomposition.
참고문헌 (19)
- C. F. Van Loan, "The ubiquitous Kronecker product", Journal of Computational and Applied Mathematics, 123, pp.85~100 (2000)
- S. Liu, "Hadamard, Khatri-Rao, Kronecker And Other Matrix Products", International Journal of Information and Systems Sciences, 4(1), pp.160~177 (2008)
- P. A. Regaliat, "Kronecker products, unitary matrices and signal processing applications", Industrial and Applied Mathematics, 31(4), pp.586~613 (1989)
- D. S. Bernstein, "Matrix Mathematics, Theory, Facts and Formulas" (2009), Princeton University Press
- E. M. Sadek, "Methodes iteratives pour la resolution d'equations matricielles, Modelisation et simulation", pp.2015
- F. Liu, "New Kronecker product decompositions and its applications", International Journal of Engineering and Science, 1(11), pp.25~30 (2012)
- H. Zhang, "On the Kronecker products and their applications", Journal of Applied Mathematics, 2013, pp.8~ (2013)
- Numerical Methods for Lyapunov Equations, "E. Jarlebring", KTH Royal Institute of Technology, ~ (2017)
- B. N. Datta, "Numerical Methods For Linear Control Systems Design And Analysis" (2003), Elsevier Academic Press
- T. Lyche, "Texts in Computational Science and Engineering" (2020), Springer
- S. Banerjee, "Texts in Statistical Science" (2014)
- W. H. Steeb, "Matrix Calculus and Kronecker Product with Applications and C++ Programs" (1997), International School of Scientic Computing
- A. J. Laub, "Matrix Analysis for Scientists and Engineers" (2005), SIAM
- V. Amoia, "Computer-oriented formulation of transitionrate matrices via Kronecker algebra", IEEE Transactions on Reliability, 30, pp.123~132 (1981)
- A. Graham, "Kronecker Products and Matrix Calculus With Applications" (1981), Ellis Horwood Limited
- R. A. Horn, "Topics in Matrix Analysis" (1991), Cambridge University Press
- Å. Björck, "Numerical Methods in Matrix Computations" (2015)
- E. Kreyszig, "Advanced Engineering Mathematics" (2011), John Wiley & Sons, Inc
- "MATLAB User's Guide, Version 8.1.0.604", The Math Works (R2013a), ~ (2013)
관련 논문AI추천
SOME RESULTS ON KRONECKER PRODUCTS AND COMMUTATION MATRICES강철, 윤용식영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호Decomposition of the Kronecker sums of matrices into a direct sum of irreducible matrices박재휘, Caixing Gu, Chase Peak, Jordan Rowley대한수학회 · 대한수학회보2021 · 제58권 제3호Efficient algorithms for computing the minimal polynomials and the inverses of level-$k$ $\Pi$-circulant matricesSanyang Liu, Zhaolin Jiang대한수학회 · 대한수학회보2003 · 제40권 제3호Finding tensor decompositions with sparse optimization김영락, 주정훈, Taehyeong Kim대한수학회 · 대한수학회지2025 · 제62권 제1호n-Dimensional Extended Index Matrices Part 1Krassimir T. Atanassov장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호On index matrices Part 5: Three dimensional index matricesK. T. Atanassov장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제4호
이 간행물의 다른 논문 (6건)
On A-somewhat fuzzy continuous functionsG. Thangaraj, S. Senthilpp. 1-18Quenching for discretization of a nonlinear diffusion equation with singular boundary fluxCoulibaly Adama, Anoh Assiedou Rodrigue, NGuessan Koffi, Toure Kidjegbo Augustinpp. 19-35Alexandrov L-preuniform filter spacesJu-Mok Oh, Yong Chan Kimpp. 37-51Dokdo commutative ideals of BCK-algebrasSamy M. Mostafa, 허걸, 이정곤, 전영배pp. 69-80Correlation coefficient between intuitionistic single-valued neutrosophic sets and its applications백종일, 허걸, Samy M. Mostafa, Sang Hyeon Hanpp. 81-105