Relevant bibliographies by topics / Kronecker products

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  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
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Academic literature on the topic 'Kronecker products'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Kronecker products"

1

Pak, Igor, and Greta Panova. "Unimodality via Kronecker products." Journal of Algebraic Combinatorics 40, no. 4 (2014): 1103–20. http://dx.doi.org/10.1007/s10801-014-0520-y.

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Zhang, Huamin, and Feng Ding. "On the Kronecker Products and Their Applications." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/296185.

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This paper studies the properties of the Kronecker product related to the mixed matrix products, the vector operator, and the vec-permutation matrix and gives several theorems and their proofs. In addition, we establish the relations between the singular values of two matrices and their Kronecker product and the relations between the determinant, the trace, the rank, and the polynomial matrix of the Kronecker products.
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Watts, Valerie L. "Boolean rank of Kronecker products." Linear Algebra and its Applications 336, no. 1-3 (2001): 261–64. http://dx.doi.org/10.1016/s0024-3795(01)00338-x.

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Brown, Andrew, Stephanie van Willigenburg, and Mike Zabrocki. "Expressions for Catalan Kronecker products." Pacific Journal of Mathematics 248, no. 1 (2010): 31–48. http://dx.doi.org/10.2140/pjm.2010.248.31.

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Zhao, Hui, Jiuqiang Han, Naiyan Wang, Congfu Xu, and Zhihua Zhang. "A Fast Spectral Relaxation Approach to Matrix Completion via Kronecker Products." Proceedings of the AAAI Conference on Artificial Intelligence 25, no. 1 (2011): 580–85. http://dx.doi.org/10.1609/aaai.v25i1.7913.

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In the existing methods for solving matrix completion, such as singular value thresholding (SVT), soft-impute and fixed point continuation (FPCA) algorithms, it is typically required to repeatedly implement singular value decompositions (SVD) of matrices.When the size of the matrix in question is large, the computational complexity of finding a solution is costly. To reduce this expensive computational complexity, we apply Kronecker products to handle the matrix completion problem. In particular, we propose using Kronecker factorization, which approximates a matrix by the Kronecker product of se
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Lakshmi N., Vellanki, Jajula Madhu, and Musa Dileep Durani. "On the Kronecker Product of Matrices and Their Applications To Linear Systems Via Modified QR-Algorithm." International Journal of Engineering and Computer Science 10, no. 6 (2021): 25352–59. http://dx.doi.org/10.18535/ijecs/v10i6.4600.

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This paper studies and supplements the proofs of the properties of the Kronecker Product of two matrices of different orders. We observe the relation between the singular value decomposition of the matrices and their Kronecker product and the relationship between the determinant, the trace, the rank and the polynomial matrix of the Kronecker products. We also establish the best least square solutions of the Kronecker product system of equations by using modified QR-algorithm.
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Tian, Yongge, and Ruixia Yuan. "New facts related to dilation factorizations of Kronecker products of matrices." AIMS Mathematics 8, no. 12 (2023): 28818–32. http://dx.doi.org/10.3934/math.20231477.

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<abstract><p>The Kronecker product of two matrices is known as a special algebraic operation of two arbitrary matrices in the computational aspect of matrix theory. This kind of matrix operation has some interesting and striking operation properties, one of which is given by $ (A \otimes B)(C \otimes D) = (AC) \otimes (BD) $ and is often called the mixed-product equality. In view of this equality, the Kronecker product $ A_1 \otimes A_2 $ of any two matrices can be rewritten as the dilation factorization $ A_1 \otimes A_2 = (A_1 \otimes I_{m_2})(I_{n_1} \otimes A_2) $, and the Kron
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Pollock, D. Stephen G. "Multidimensional Arrays, Indices and Kronecker Products." Econometrics 9, no. 2 (2021): 18. http://dx.doi.org/10.3390/econometrics9020018.

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Much of the algebra that is associated with the Kronecker product of matrices has been rendered in the conventional notation of matrix algebra, which conceals the essential structures of the objects of the analysis. This makes it difficult to establish even the most salient of the results. The problems can be greatly alleviated by adopting an orderly index notation that reveals these structures. This claim is demonstrated by considering a problem that several authors have already addressed without producing a widely accepted solution.
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Özel, Mustafa. "Schur Complements of Block Kronecker Products." Deu Muhendislik Fakultesi Fen ve Muhendislik 19, no. 57 (2017): 845–50. http://dx.doi.org/10.21205/deufmd.2017195774.

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Liu, Jian. "SPECTRAL RADIUS, KRONECKER PRODUCTS AND STATIONARITY." Journal of Time Series Analysis 13, no. 4 (1992): 319–25. http://dx.doi.org/10.1111/j.1467-9892.1992.tb00110.x.

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Dissertations / Theses on the topic "Kronecker products"

1

Broxson, Bobbi Jo. "The Kronecker Product." UNF Digital Commons, 2006. http://digitalcommons.unf.edu/etd/25.

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This paper presents a detailed discussion of the Kronecker product of matrices. It begins with the definition and some basic properties of the Kronecker product. Statements will be proven that reveal information concerning the eigenvalues, singular values, rank, trace, and determinant of the Kronecker product of two matrices. The Kronecker product will then be employed to solve linear matrix equations. An investigation of the commutativity of the Kronecker product will be carried out using permutation matrices. The Jordan - Canonical form of a Kronecker product will be examined. Variations suc
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2

Gilliam, Paul John. "A practical parallel algorithm for the minimization of Krönecker Reed-Muller expansions." PDXScholar, 1991. https://pdxscholar.library.pdx.edu/open_access_etds/4178.

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A number of recent developments has increased the desirability of using exclusive OR (XOR) gates in the synthesis of switching functions. This has, in turn, led naturally to an increased interest in algorithms for the minimization of Exclusive-Or Sum of Products (ESOP) forms. Although this is an active area of research, it is not nearly as developed as the traditional Sum of Products forms. Computer programs to find minimum ESOPs are not readily available and those that do exist are impractical to use as investigative tools because they are too slow and/or require too much memory. A practical
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Zeng, Xiaoqiang. "Minimization of Generalized Reed-Muller Expansion and Its Sub-class." PDXScholar, 1994. https://pdxscholar.library.pdx.edu/open_access_etds/4991.

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Several classes of AND-EXOR circuit expressions have been defined and their relationship have been shown. A new class of AND-EXOR circuit, the Partially Mixed Polarity Reed-Muller Expression(PMPRM), which is a subclass of the Generalized Reed-Muller expression, is created, along with an efficient minimization algorithm. This new AND/EXOR circuit form has the following features: • Since this sub-family of ESOP (with a total of n2n-I22n-i - (n-1)2n forms which includes the 2n Fixed-Polarity Reed-Muller forms) is much larger than the Kronecker Reed-Muller(KRM) expansion(with 3n forms), generally
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Liang, Dong Cowles Mary Kathryn. "Issues in Bayesian Gaussian Markov random field models with application to intersensor calibration." Iowa City : University of Iowa, 2009. http://ir.uiowa.edu/etd/400.

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Wang, Wei. "Estimation Approaches of Sufficient Reduction under Kronecker Product Structure." Thesis, The George Washington University, 2018. http://pqdtopen.proquest.com/#viewpdf?dispub=10744337.

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<p> We propose methods to estimate linear combinations of several predictors that are measured repeatedly over time, that contain sufficient information for the regression of the predictors on the outcome. We assume that the first moments of the predictors can be decomposed into a time and a marker component via a Kronecker product structure that accommodates the longitudinal nature of the predictors. We then extend least squares and model-based sufficient dimension reduction techniques to accommodate this setting. We derive some analytic properties, and we compare the performance of the vario
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Badahmane, Achraf. "Méthodes de sous espaces de Krylov préconditionnées pour les problèmes de point-selle avec plusieurs seconds membres." Thesis, Littoral, 2019. http://www.theses.fr/2019DUNK0543.

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La résolution numérique des problèmes de point-selle a eu une attention particulière ces dernières années. À titre d'exemple, la mécanique des fluides et solides conduit souvent à des problèmes de point-selle. Ces problèmes se présentent généralement par des équations aux dérivées partielles que nous linéarisons et discrétisons. Le problème linéaire obtenu est souvent mal conditionné. Le résoudre par des méthodes itératives standard n'est donc pas approprié. En plus, lorsque la taille du problème est grande, il est nécessaire de procéder par des méthodes de projections. Nous nous intéressons d
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Ben, Hadj Braiek Ennaceur. "Application des fonctions de Walsh et des fonctions modulatrices à la modélisation des systèmes continus non linéaires." Lille 1, 1990. http://www.theses.fr/1990LIL10072.

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La modélisation d'un processus recouvre deux aspects : le choix d'un modèle mathématique, et la détermination de ses paramètres. Différents modèles de systèmes continus sont présentés, et le produit de Kronecker est introduit pour formaliser simplement des équations différentielles non linéaires multivariables, que ce soit des équations d'état ou relations différentielles entrées/sorties. La détermination des paramètres de ces modèles est ensuite considérée par l'utilisation des fonctions de Walsh et des fonctions modulatrices. Plusieurs algorithmes sont proposés et implantés sous la forme d'u
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Koroko, Abdoulaye. "Natural gradient-based optimization methods for deep neural networks." Electronic Thesis or Diss., université Paris-Saclay, 2023. http://www.theses.fr/2023UPASG068.

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La méthode du gradient stochastique est la technologie actuellement prédominante pour effectuer la phase d'entraînement des réseaux de neurones. Par rapport à une descente classique, le calcul du vrai gradient comme une moyenne sur les données est remplacé par un élément aléatoire de la somme. En présence de données massives, cette approximation audacieuse permet de diminuer le nombre d'évaluations de gradients élémentaires et d'alléger le coût de chaque itération. Le prix à payer est l'apparition d'oscillations et la lenteur de convergence souvent excessive en nombre d'itérations. L'objectif
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Luu, Ba Thang. "Matrix-based implicit representations of algebraic curves and surfaces and applications." Nice, 2011. http://www.theses.fr/2011NICE4035.

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Dans cette thèse, nous introduisons et étudions une nouvelle représentation implicite des hypersurfaces rationnelles plongées dans un espace projectif de dimension arbitraire. Nous illustrons les avantages de cette représentation matricielle en abordant plusieurs problèmes importants intervenant en conception géométrique assistée par ordinateur : les problèmes d’intersection entre deux courbes, entre une courbe et une surface ou bien encore entre deux surfaces, le problème d’appartenance d’une point à une courbe ou une surface, le problème du calcul de la pré-image d’un point donné par une par
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Abouir, Jilali. "Problèmes concernant l'approximation rationnelle à plusieurs variables." Lille 1, 1992. http://www.theses.fr/1992LIL10054.

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Dans le cadre de l'interpolation rationnelle à plusieurs variables, nous étudions les propriétés fondamentales suivantes: continuité de l'opérateur d'approximation, les conditions nécessaires et suffisantes pour avoir la normalité de l'approximant de Newton-Pade. Dans la seconde partie, nous étudions une extension du théorème de Kronecker au cas de séries entières à deux variables, nous faisons la liaison avec les approximants de Pade homogènes. Dans la troisième partie, nous définissons les approximants de Pade homogènes. Dans la troisième partie, nous définissons les approximants de Newton-P
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Books on the topic "Kronecker products"

1

Loan, Charles F. Van. Approximation with Kronecker products. Cornell Theory Center, Cornell University, 1992.

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Steeb, W. H. Kronecker product of matrices and applications. B.I. Wissenschaftsverlag, 1991.

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Dayar, Tuğrul. Analyzing Markov Chains using Kronecker Products. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4190-8.

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Dayar, Tuğrul. Analyzing Markov Chains using Kronecker Products: Theory and Applications. Springer New York, 2012.

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Blasiak, Jonah. Geometric complexity theory IV: Nonstandard quantum group for the Kronecker problem. American Mathematical Society, 2015.

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Kiat, Shi Tan, ed. Matrix calculus and Kronecker product with applications and C++ programs. World Scientific, 1997.

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Beelen, Theodorus Gertrudis Jospeh. New algorithms for computing the Kronecker structure of a pencil with applications to systems and control theory. T.G.J. Beelen, 1987.

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1976-, Hardy Yorick, ed. Matrix calculus and Kronecker product: A practical approach to linear and multilinear algebra. 2nd ed. World Scientific, 2011.

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Graham, Alexander. Kronecker Products and Matrix Calculus with Applications. Dover Publications, Incorporated, 2018.

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Graham, Alexander. Kronecker Products and Matrix Calculus With Applications. Ellis Horwood Ltd, 1986.

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Book chapters on the topic "Kronecker products"

1

Dayar, Tuǧrul. "Modeling with Kronecker Products." In Kronecker Modeling and Analysis of Multidimensional Markovian Systems. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97129-2_2.

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2

Loan, C. F., and N. Pitsianis. "Approximation with Kronecker Products." In Linear Algebra for Large Scale and Real-Time Applications. Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8196-7_17.

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Schroeder, Manfred R. "Fast Transformations and Kronecker Products." In Number Theory in Science and Communication. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-662-22246-1_17.

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Schroeder, Manfred R. "Fast Transformation and Kronecker Products." In Number Theory in Science and Communication. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-662-03430-9_17.

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Berck, Peter, and Knut Sydsæter. "Kronecker products and the vec operator." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-02678-6_22.

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Berck, Peter, and Knut Sydsæter. "Kronecker products and the vec operator." In Economists’ Mathematical Manual. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-11597-8_22.

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Dayar, Tuğrul. "Introduction." In Analyzing Markov Chains using Kronecker Products. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4190-8_1.

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Dayar, Tuğrul. "Preliminaries." In Analyzing Markov Chains using Kronecker Products. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4190-8_2.

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Dayar, Tuğrul. "Iterative Methods." In Analyzing Markov Chains using Kronecker Products. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4190-8_3.

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Dayar, Tuğrul. "Decompositional Methods." In Analyzing Markov Chains using Kronecker Products. Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4614-4190-8_4.

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Conference papers on the topic "Kronecker products"

1

Zeng, Shilin, Qingning Zeng, and Xiangqian Long. "Kronecker Product-Based Beamformer for Microphone Arrays." In 2024 5th International Conference on Electronic Communication and Artificial Intelligence (ICECAI). IEEE, 2024. http://dx.doi.org/10.1109/icecai62591.2024.10675027.

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Zeng, Yichen, Jilu Jin, Gongping Huang, Jingdong Chen, and Jacob Benesty. "DOA Estimation Based on Enhanced SRP-MVDR Using Kronecker Product Decomposition for Large Rectangular Microphone Arrays." In ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2025. https://doi.org/10.1109/icassp49660.2025.10889144.

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Leskovec, Jure. "Networks, communities and kronecker products." In Proceeding of the 1st ACM international workshop. ACM Press, 2009. http://dx.doi.org/10.1145/1651274.1651275.

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Jokar, Sadegh. "Sparse recovery and Kronecker products." In 2010 44th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2010. http://dx.doi.org/10.1109/ciss.2010.5464722.

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Nagy, James G., and Lisa Perrone. "Kronecker products in image restoration." In Optical Science and Technology, SPIE's 48th Annual Meeting, edited by Franklin T. Luk. SPIE, 2003. http://dx.doi.org/10.1117/12.512082.

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Liu, Xueting, and Hongkui Li. "On the Kippenhahn Curves of Kronecker Products." In 2009 IITA International Conference on Control, Automation and Systems Engineering, CASE 2009. IEEE, 2009. http://dx.doi.org/10.1109/case.2009.150.

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Li, Hongkui, Zhaowei Meng, Yunming Zhou, and Xueting Liu. "The Kippenhahn Curves of Some Kronecker Products." In 2009 ETP International Conference on Future Computer and Communication (FCC). IEEE, 2009. http://dx.doi.org/10.1109/fcc.2009.55.

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Alman, Josh. "Kronecker products, low-depth circuits, and matrix rigidity." In STOC '21: 53rd Annual ACM SIGACT Symposium on Theory of Computing. ACM, 2021. http://dx.doi.org/10.1145/3406325.3451008.

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Dayar, Tugrul. "Analyzing Large Sparse Markov Chains of Kronecker Products." In 2009 Sixth International Conference on the Quantitative Evaluation of Systems (QEST). IEEE, 2009. http://dx.doi.org/10.1109/qest.2009.12.

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Zhao, Wenling, and Daojin Song. "About the kippenhahn curves of some kronecker products." In 2009 ISECS International Colloquium on Computing, Communication, Control, and Management (CCCM). IEEE, 2009. http://dx.doi.org/10.1109/cccm.2009.5267910.

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Reports on the topic "Kronecker products"

1

Fulton, C. T., and L. Wu. Parallel computation of large least squares problems involving Kronecker products on the Connection Machine 5. Office of Scientific and Technical Information (OSTI), 1995. http://dx.doi.org/10.2172/113992.

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Liang, Yuli, Chengcheng Hao, and Deliang Dai. Two-sample intraclass correlation coefficient tests for matrix-valued data. Department of Economics and Statistics, Linnaeus University, 2024. http://dx.doi.org/10.15626/ns.wp.2024.06.

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Under a model having a Kronecker product covariance structure with compound symmetry or circular symmetry, two-sample hypothesis testing for the equality of two correlation parameters is considered. Different tests are proposed by using the ratio of independent F distributions. Several tests are compared with the proposed ones and practical recommendations are made based on their type I error probabilities and powers. Finally, all mentioned tests are applied to a real data example.
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