Results 41 to 50 of about 115,750 (273)
Factorization of Delannoy matrices
Elemente der Mathematik, 2021 Summary: The Delannoy matrices are factorized with Pascal matrices, which easily results in the Cholesky decomposition and the inverse of such matrices. The determinants of Delannoy matrices are connected with triangular numbers. Finally, a factorization of Delannoy matrices with Hypercube matrices and Pascal matrices is given.
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Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices
Special Matrices, 2015 We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can
Verde-Star Luis
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Differential expansion for antiparallel triple pretzels: the way the factorization is deformed
European Physical Journal C: Particles and Fields, 2022 For a peculiar family of double braid knots there is a remarkable factorization formula for the coefficients of the differential (cyclotomic) expansion (DE), which nowadays is widely used to construct the exclusive Racah matrices S and $${\bar{S}}$$ S ...
A. Morozov, N. Tselousov
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Frontiers in Cell and Developmental Biology, 2022 Calculating and predicting drug-target interactions (DTIs) is a crucial step in the field of novel drug discovery. Nowadays, many models have improved the prediction performance of DTIs by fusing heterogeneous information, such as drug chemical structure
Jiacheng Sun +14 more
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Algorithms for Positive Semidefinite Factorization
, 2017 This paper considers the problem of positive semidefinite factorization (PSD factorization), a generalization of exact nonnegative matrix factorization. Given an $m$-by-$n$ nonnegative matrix $X$ and an integer $k$, the PSD factorization problem consists
Gillis, Nicolas +2 more
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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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Factorizations of Cauchy matrices
Journal of Computational and Applied Mathematics, 1997 A matrix \(C\) with entries \(c_{ij}= (x_i- y_j)^{-1}\) is said to be a Cauchy matrix. The LU-factorization with appropriate pivoting is discussed. The size of the matrix elements in the resulting upper triangular matrices is illustrated in 12 figures, for 12 typical situations.
Calvetti, D., Reichel, L.
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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ZjuMatrix: C++ vector and matrix class library for finite element method
SoftwareXFinite element analysis is an indispensable and valuable tool widely used in the field of science and technology. It involves a multitude of matrix operations, storage of large banded matrices, and calculation of large-scale algebraic equations and ...
Shicheng Zheng, Rongqiao Xu
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Journal of Applied Mathematics, 2014 The row first-minus-last right (RFMLR) circulant matrix and row last-minus-first left (RLMFL) circulant matrices are two special pattern matrices. By using the inverse factorization of polynomial, we give the exact formulae of determinants of the two ...
Zhaolin Jiang, Nuo Shen, Juan Li
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