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Relevant bibliographies by topics / Matrix partitions

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Academic literature on the topic 'Matrix partitions'

Author: Grafiati

Published: 22 June 2023

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Journal articles on the topic "Matrix partitions"

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Li, Yu, Jianfeng Wu, Chunfu Lu, Zhichuan Tang, and Chengmin Li. "Pillow Support Model with Partitioned Matching Based on Body Pressure Distribution Matrix." Healthcare 9, no. 5 (2021): 571. http://dx.doi.org/10.3390/healthcare9050571.

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(1) Objective: Sleep problems have become one of the current serious public health issues. The purpose of this research was to construct an ideal pressure distribution model for head and neck support through research on the partitioned support surface of a pillow in order to guide the development of ergonomic pillows. (2) Methods: Seven typical memory foam pillows were selected as samples, and six subjects were recruited to carry out a body pressure distribution experiment. The average value of the first 10% of the samples in the comfort evaluation was calculated to obtain the relative ideal b

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Adm, Mohammad, Shaun Fallat, Karen Meagher, Shahla Nasserasr, Sarah Plosker, and Boting Yang. "Achievable multiplicity partitions in the inverse eigenvalue problem of a graph." Special Matrices 7, no. 1 (2019): 276–90. http://dx.doi.org/10.1515/spma-2019-0022.

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Abstract Associated to a graph G is a set 𝒮(G) of all real-valued symmetric matrices whose off-diagonal entries are nonzero precisely when the corresponding vertices of the graph are adjacent, and the diagonal entries are free to be chosen. If G has n vertices, then the multiplicities of the eigenvalues of any matrix in 𝒮 (G) partition n; this is called a multiplicity partition. We study graphs for which a multiplicity partition with only two integers is possible. The graphs G for which there is a matrix in 𝒮 (G) with partitions [n − 2, 2] have been characterized. We find families of graphs G

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Alexandrov, A. "Matrix models for random partitions." Nuclear Physics B 851, no. 3 (2011): 620–50. http://dx.doi.org/10.1016/j.nuclphysb.2011.06.007.

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Feder, Tomás, and Pavol Hell. "Matrix partitions of perfect graphs." Discrete Mathematics 306, no. 19-20 (2006): 2450–60. http://dx.doi.org/10.1016/j.disc.2005.12.035.

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Feder, Tomás, Pavol Hell, and Oren Shklarsky. "Matrix partitions of split graphs." Discrete Applied Mathematics 166 (March 2014): 91–96. http://dx.doi.org/10.1016/j.dam.2013.10.016.

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Chen, Ji Wen, Jin Sheng Zhang, Zhi Wang, and Jing Kun Wang. "Function Module Dynamic Partition for Product Innovation Design." Applied Mechanics and Materials 58-60 (June 2011): 2095–100. http://dx.doi.org/10.4028/www.scientific.net/amm.58-60.2095.

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The reasonable functional modules partition is crucial to technical solution of function in product innovation design. Technical evolution factors are not considered in current product module partition method. The correlation of customer demand and product function unit, function unit flow correlation and function technology correlation are synthesized for function module partition in product innovation design. Based on function base expression, function chain and function structure is established to provide basis of function correlation analysis. Function correlation matrix is established by

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Li, Yimeng, Marcello Ruta, and Matthew A. Wills. "Craniodental and Postcranial Characters of Non-Avian Dinosauria Often Imply Different Trees." Systematic Biology 69, no. 4 (2019): 638–59. http://dx.doi.org/10.1093/sysbio/syz077.

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Abstract Despite the increasing importance of molecular sequence data, morphology still makes an important contribution to resolving the phylogeny of many groups, and is the only source of data for most fossils. Most systematists sample morphological characters as broadly as possible on the principle of total evidence. However, it is not uncommon for sampling to be focused on particular aspects of anatomy, either because characters therein are believed to be more informative, or because preservation biases restrict what is available. Empirically, the optimal trees from partitions of morphologi

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Göbel, Andreas, Leslie Ann Goldberg, Colin McQuillan, David Richerby, and Tomoyuki Yamakami. "Counting List Matrix Partitions of Graphs." SIAM Journal on Computing 44, no. 4 (2015): 1089–118. http://dx.doi.org/10.1137/140963029.

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Eynard, B. "A matrix model for plane partitions." Journal of Statistical Mechanics: Theory and Experiment 2009, no. 10 (2009): P10011. http://dx.doi.org/10.1088/1742-5468/2009/10/p10011.

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Strahov, Eugene. "Matrix Kernels for Measures on Partitions." Journal of Statistical Physics 133, no. 5 (2008): 899–919. http://dx.doi.org/10.1007/s10955-008-9641-9.

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Dissertations / Theses on the topic "Matrix partitions"

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Bagatini, Alessandro. "Matrix representation for partitions and Mock Theta functions." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2016. http://hdl.handle.net/10183/150232.

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Neste trabalho, com base em representações por matrizes de duas linhas para alguns tipos de partição (algumas já conhecidas e outras novas), identificamos propriedades sugeridas por classificá-las de acordo com a soma dos elementos de sua segunda linha. Esta soma sempre fornece alguma propriedade da partição relacionada. Se considerarmos versões sem sinal de algumas funções Mock Theta, seu termo geral pode ser interpretado como função geradora para algum tipo de partição com restrições. Para retornar aos coeficientes originais, é possível definir um peso para cada matriz e depois somá-las para

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Quéré, Romain. "Quelques propositions pour la comparaison de partitions non strictes." Phd thesis, Université de La Rochelle, 2012. http://tel.archives-ouvertes.fr/tel-00950514.

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Cette thèse est consacrée au problème de la comparaison de deux partitions non strictes (floues/probabilistes, possibilistes) d'un même ensemble d'individus en plusieurs clusters. Sa résolution repose sur la définition formelle de mesures de concordance reprenant les principes des mesures historiques développées pour la comparaison de partitions strictes et trouve son application dans des domaines variés tels que la biologie, le traitement d'images, la classification automatique. Selon qu'elles s'attachent à observer les relations entre les individus décrites par chacune des partitions ou à qu

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Matte, Marília Luiza. "Matrix representations for integer partitions : some consequences and a new approach." Universidade Federal do Rio Grande do Sul, 2018. http://hdl.handle.net/10183/178603.

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O presente trabalho dedica-se ao estudo de algumas consequências da representação matricial para conjuntos de partições de inteiros e funções mock theta. Na primeira parte do texto, classificamos as partições geradas por seis diferentes funções mock theta, de acordo com a soma das entradas da segunda linha das matrizes associadas, e apresentamos algumas fórmulas fechadas e identidades para essas partições. De nimos também a família ffm (q)gm 1 de funções mock theta, inspiradas pelo que chamamos de versão sem sinal da função f1(q). Fornecemos uma representação matricial análoga para as funções

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Bas, Erdeniz Ozgun. "Load-Balancing Spatially Located Computations using Rectangular Partitions." The Ohio State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=osu1306909831.

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Bellissimo, Michael Robert. "A LOWER BOUND ON THE DISTANCE BETWEEN TWO PARTITIONS IN A ROUQUIER BLOCK." University of Akron / OhioLINK, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=akron1523039734121649.

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Barsukov, Alexey. "On dichotomy above Feder and Vardi's logic." Electronic Thesis or Diss., Université Clermont Auvergne (2021-...), 2022. https://tel.archives-ouvertes.fr/tel-04100704.

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On dit d'un sous-ensemble de NP qu'il présente une dichotomie s'il contient des problèmes qui sont soit résolubles en temps polynomial (dans Ptime), soit difficiles (NP-complets). La classe des problèmes de satisfaction de contraintes (CSP) finis est un sous-ensemble bien connu de NP qui présente une telle dichotomie. La classe de complexité NP n'a pas de dichotomie à moins que P = NP. Pour ces deux classes, il existe des logiques qui leur sont associées. -- NP est capturé par la logique Existentielle du second ordre (ESO) par le théorème de Fagin, c'est-à-dire qu'un problème est dans NP si et

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Acosta, Jaramillo Enrique. "Leading Order Asymptotics of a Multi-Matrix Partition Function for Colored Triangulations." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/293410.

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We study the leading order asymptotics of a Random Matrix theory partition function related to colored triangulations. This partition function comes from a three Hermitian matrix model that has been introduced in the physics literature. We provide a detailed and precise description of the combinatorial objects that the partition function counts that has not appeared previously in the literature. We also provide a general framework for studying the leading order asymptotics of an N dimensional integral that one encounters studying the partition function of colored triangulations. The results ar

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Shahzad, Yasser. "Micellar chromatographic partition coefficients and their application in predicting skin permeability." Thesis, University of Huddersfield, 2013. http://eprints.hud.ac.uk/id/eprint/23480/.

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The major goal for physicochemical screening of pharmaceuticals is to predict human drug absorption, distribution, elimination, excretion and toxicity. These are all dependent on the lipophilicity of the drug, which is expressed as a partition coefficient i.e. a measure of a drug’s preference for the lipophilic or hydrophilic phases. The most common method of determining a partition coefficient is the shake flask method using octanol and water as partitioning media. However, this system has many limitations when modeling the interaction of ionised compounds with membranes, therefore, unreliabl

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Thüne, Mario. "Eigenvalues of Matrices and Graphs." Doctoral thesis, Universitätsbibliothek Leipzig, 2013. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-120713.

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The interplay between spectrum and structure of graphs is the recurring theme of the three more or less independent chapters of this thesis. The first chapter provides a method to relate the eigensolutions of two matrices, one being the principal submatrix of the other, via an arbitrary annihilating polynomial. This is extended to lambda-matrices and to matrices the entries of which are rational functions in one variable. The extension may be interpreted as a possible generalization of other known techniques which aim at reducing the size of a matrix while preserving the spectral information.

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Young, Barrington R. St A. "Efficient Algorithms for Data Mining with Federated Databases." University of Cincinnati / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1179332091.

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Books on the topic "Matrix partitions"

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Claudio, Procesi, ed. Topics in hyperplane arrangements, polytopes and box-splines. Springer, 2011.

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Keating, Jon, and Nina Snaith. Random permutations and related topics. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.25.

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This article considers some topics in random permutations and random partitions highlighting analogies with random matrix theory (RMT). An ensemble of random permutations is determined by a probability distribution on Sn, the set of permutations of [n] := {1, 2, . . . , n}. In many ways, the symmetric group Sn is linked to classical matrix groups. Ensembles of random permutations should be given the same treatment as random matrix ensembles, such as the ensembles of classical compact groups and symmetric spaces of compact type with normalized invariant measure. The article first describes the

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Concini, Corrado De, and Claudio Procesi. Topics in Hyperplane Arrangements, Polytopes and Box-Splines. Springer London, Limited, 2010.

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Guhr, Thomas. Replica approach in random matrix theory. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.8.

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This article examines the replica method in random matrix theory (RMT), with particular emphasis on recently discovered integrability of zero-dimensional replica field theories. It first provides an overview of both fermionic and bosonic versions of the replica limit, along with its trickery, before discussing early heuristic treatments of zero-dimensional replica field theories, with the goal of advocating an exact approach to replicas. The latter is presented in two elaborations: by viewing the β = 2 replica partition function as the Toda lattice and by embedding the replica partition functi

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Marino, Marcos. Quantum chromodynamics. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.32.

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This article focuses on chiral random matrix theories with the global symmetries of quantum chromodynamics (QCD). In particular, it explains how random matrix theory (RMT) can be applied to the spectra of the Dirac operator both at zero chemical potential, when the Dirac operator is Hermitian, and at non-zero chemical potential, when the Dirac operator is non-Hermitian. Before discussing the spectra of these Dirac operators at non-zero chemical potential, the article considers spontaneous symmetry breaking in RMT and the QCD partition function. It then examines the global symmetries of QCD, ta

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Book chapters on the topic "Matrix partitions"

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Abed, Fidaa, Ioannis Caragiannis, and Alexandros A. Voudouris. "Near-Optimal Asymmetric Binary Matrix Partitions." In Mathematical Foundations of Computer Science 2015. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48054-0_1.

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Brietzke, Eduardo H. M., José Plínio O. Santos, and Robson da Silva. "Bijective proofs using two-line matrix representations for partitions." In Combinatory Analysis. Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7858-4_17.

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Birk, David E., and Robert L. Trelstad. "Metazoan Mesenchyme Partitions the Extracellular Space During Matrix Morphogenesis." In Biology of Invertebrate and Lower Vertebrate Collagens. Springer US, 1985. http://dx.doi.org/10.1007/978-1-4684-7636-1_9.

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Hackbusch, Wolfgang. "Matrix Partition." In Hierarchical Matrices: Algorithms and Analysis. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-47324-5_5.

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Harville, David A. "Submatrices and Partitioned Matrices." In Matrix Algebra: Exercises and Solutions. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0181-3_2.

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Alon, Noga, Michal Feldman, Iftah Gamzu, and Moshe Tennenholtz. "The Asymmetric Matrix Partition Problem." In Web and Internet Economics. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-45046-4_1.

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Harville, David A. "Submatrices and Partitioned Matrices." In Matrix Algebra From a Statistician’s Perspective. Springer New York, 1997. http://dx.doi.org/10.1007/0-387-22677-x_2.

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Kuang, Da, Jaegul Choo, and Haesun Park. "Nonnegative Matrix Factorization for Interactive Topic Modeling and Document Clustering." In Partitional Clustering Algorithms. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09259-1_7.

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Puntanen, Simo, George P. H. Styan, and Jarkko Isotalo. "Nonnegative Definiteness of a Partitioned Matrix." In Matrix Tricks for Linear Statistical Models. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-10473-2_15.

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Puntanen, Simo, George P. H. Styan, and Jarkko Isotalo. "Rank of the Partitioned Matrix and the Matrix Product." In Matrix Tricks for Linear Statistical Models. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-10473-2_6.

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Conference papers on the topic "Matrix partitions"

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Kang, Zhao, Zipeng Guo, Shudong Huang, et al. "Multiple Partitions Aligned Clustering." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/375.

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Multi-view clustering is an important yet challenging task due to the difficulty of integrating the information from multiple representations. Most existing multi-view clustering methods explore the heterogeneous information in the space where the data points lie. Such common practice may cause significant information loss because of unavoidable noise or inconsistency among views. Since different views admit the same cluster structure, the natural space should be all partitions. Orthogonal to existing techniques, in this paper, we propose to leverage the multi-view information by fusing partit

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Sankhavara, C. D., and H. J. Shukla. "Influence of Partition Location on Natural Convection in a Partitioned Enclosure." In ASME 2005 Summer Heat Transfer Conference collocated with the ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems. ASMEDC, 2005. http://dx.doi.org/10.1115/ht2005-72093.

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In this study, Natural convection heat transfer and fluid flow of square partitioned enclosure with two partitions protruding centrally from the end walls of an enclosure have been analysed numerically using finite element method. The enclosure has opposite isothermal walls at different temperatures. The thickness and length of the partitions is fixed and equal to 1/10 and 1/4 of width of the enclosure respectively. Computation for Rayleigh number in the range of 104 to 106 has been conducted. The influence of different thermal boundary conditions at the end walls and at the partitions is incl

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Gobel, Andreas, Leslie Ann Goldberg, Colin McQuillan, David Richerby, and Tomoyuki Yamakami. "Counting List Matrix Partitions of Graphs." In 2014 IEEE Conference on Computational Complexity (CCC). IEEE, 2014. http://dx.doi.org/10.1109/ccc.2014.14.

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Patton, Stephen, Hamidreza Khaleghzadeh, Ravi Reddy Manumachu, and Alexey Lastovetsky. "SummaGen: Parallel Matrix-Matrix Multiplication Based on Non-rectangular Partitions for Heterogeneous HPC Platforms." In 2019 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW). IEEE, 2019. http://dx.doi.org/10.1109/ipdpsw.2019.00017.

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Derrico, Joel B., and Gershon Buchsbaum. "Image compression application of a simultaneous Karhunen-Loeve transformation in space and color." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.fc3.

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Most color image coding techniques transform the primary color vectors, at each pixel, independently of their spatial arrangement. Since the spatial and chromatic dimensions of natural color images are not independent, efficient coding requires elimination of both spatial and chromatic correlation across chromatic bands. Global spatiochromatic decorrelation has not been utilized because of its enormous computational load.1 A more feasible local approach is presented which partitions a large image into subimages, where the computational load is reasonable. The subimages are transformed using th

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Qiu, Chen, and Jian S. Dai. "Constraint Stiffness Construction and Decomposition of a SPS Orthogonal Parallel Mechanism." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46811.

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This paper investigates both stiffness analysis and synthesis problems using a physical prototype of one SPS orthogonal parallel mechanism. This parallel mechanism is supported with line-type constraint limbs. In the stiffness analysis, a reciprocal relationship between motions and wrenches is used to design layouts of constraint limbs and construct the corresponding stiffness matrix. In the stiffness synthesis, the developed stiffness matrix is decomposed to obtain configurations of constraint limbs based on existing synthesis algorithms, including direct-recursion and matrix-partition approa

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Fabregat-Traver, Diego, Paolo Bientinesi, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Automatic Generation of Partitioned Matrix Expressions for Matrix Operations." In ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics 2010. AIP, 2010. http://dx.doi.org/10.1063/1.3498598.

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Sugino, Fumihiko. "U-duality from matrix membrane partition function." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454380.

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Chou, Chiu-Chih, Thong Nguyen, and Jose E. Schutt-Aine. "Impact of Partition Schemes in Loewner Matrix Macromodeling." In 2020 IEEE Electrical Design of Advanced Packaging and Systems (EDAPS). IEEE, 2020. http://dx.doi.org/10.1109/edaps50281.2020.9312918.

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Adi, Prajanto Wahyu, and Pramudi Arsiwi. "Fast and Robust Watermarking Method using Walsh Matrix Partition." In 2019 International Seminar on Research of Information Technology and Intelligent Systems (ISRITI). IEEE, 2019. http://dx.doi.org/10.1109/isriti48646.2019.9034627.

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Reports on the topic "Matrix partitions"

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Brenan, J. M., K. Woods, J. E. Mungall, and R. Weston. Origin of chromitites in the Esker Intrusive Complex, Ring of Fire Intrusive Suite, as revealed by chromite trace element chemistry and simple crystallization models. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/328981.

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To better constrain the origin of the chromitites associated with the Esker Intrusive Complex (EIC) of the Ring of Fire Intrusive Suite (RoFIS), a total of 50 chromite-bearing samples from the Black Thor, Big Daddy, Blackbird, and Black Label chromite deposits have been analysed for major and trace elements. The samples represent three textural groups, as defined by the relative abundance of cumulate silicate phases and chromite. To provide deposit-specific partition coefficients for modeling, we also report on the results of laboratory experiments to measure olivine- and chromite-melt partiti

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