Results 41 to 50 of about 9,658 (265)
Factorization of matrices of quaternions
Expositiones Mathematicae, 2012 We review known factorization results in quaternion matrices. Specifically, we derive the Jordan canonical form, polar decomposition, singular value decomposition, the QR factorization. We prove there is a Schur factorization for commuting matrices, and from this derive the spectral theorem.
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The Role of Chemotherapy in Pediatric Myoepithelial Carcinoma: A Systematic Review of the Literature
Pediatric Blood &Cancer, EarlyView.ABSTRACT Myoepithelial carcinoma (MEC) in pediatric patients is a rare and aggressive malignancy characterized by heterogeneous morphology and variable molecular features. The optimal role of chemotherapy remains unclear. We conducted a systematic review according to PRISMA 2020 guidelines to evaluate chemotherapy in pediatric and young‐adult patients ...
Marco Salvi +7 more
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Lawra – linear algebra with recursive algorithms
Mathematical Modelling and Analysis, 1999 Recursion leads to automatic variable blocking for dense linear‐algebra algorithms. The recursive way of programming algorithms eliminates using BLAS level 2 during the factorization steps.
B. S. Andersen +4 more
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Inherited LU-factorizations of matrices
Linear Algebra and its Applications, 2007 Assume that \(A\) is an \(n\times n\) matrix with entries in a ring \(\mathcal{R}\) and that \(a_{11}, a_{22},\dots,a_{nn}\) are invertible elements in \(\mathcal{R}\). Write \(A=B+D+C\) where \(B\) is strictly lower triangular, \(C\) is strictly upper triangular, and \(D\) is diagonal. The authors consider various factorizations containing \(B\), \(D\)
Arav, Marina +2 more
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
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Factorizations for a class of multivariate polynomial matrices [PDF]
Multidimensional Systems and Signal Processing, 2019 Following the works by Lin et al. (Circuits Syst. Signal Process. 20(6): 601-618, 2001) and Liu et al. (Circuits Syst. Signal Process. 30(3): 553-566, 2011), we investigate how to factorize a class of multivariate polynomial matrices. The main theorem in this paper shows that an $l\times m$ polynomial matrix admits a factorization with respect to a ...
Dong Lu, Dingkang Wang, Fanghui Xiao
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
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spam: A Sparse Matrix R Package with Emphasis on MCMC Methods for Gaussian Markov Random Fields
Journal of Statistical Software, 2010 spam is an R package for sparse matrix algebra with emphasis on a Cholesky factorization of sparse positive definite matrices. The implemantation of spam is based on the competing philosophical maxims to be competitively fast compared to existing tools ...
Reinhard Furrer, Stephan R. Sain
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Interpretable Topic Extraction and Word Embedding Learning Using Non-Negative Tensor DEDICOM
Machine Learning and Knowledge Extraction, 2021 Unsupervised topic extraction is a vital step in automatically extracting concise contentual information from large text corpora. Existing topic extraction methods lack the capability of linking relations between these topics which would further help ...
Lars Hillebrand +3 more
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