Results 31 to 40 of about 1,476 (274)
Discrete Analysis, 2023 Limits of Latin squares, Discrete Analysis 2023:8, 66 pp. There has been a great deal of work over the last fifteen to twenty years on the theme of continuous limits of discrete combinatorial objects. In particular, any sequence of graphs of increasing
Frederik Garbe +3 more
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On matrices with a doubly stochastic pattern
Journal of Mathematical Analysis and Applications, 1971 In [7] Sinkhorn proved that if A is a positive square matrix, then there exist two diagonal matrices D, = {@r,..., d$) and D, = {dj2),..., di2r) with positive entries such that D,AD, is doubly stochastic. This problem was studied also by Marcus and Newman [3], Maxfield and Mint [4] and Menon [5]. Later Sinkhorn and Knopp [8] considered the same problem
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Majorization, doubly stochastic matrices, and comparison of eigenvalues [PDF]
, 1989 1. Basic properties of majorization. 2. Isotone maps and algebraic operations. 3. Double sub- and superstochasticity. 4. Doubly stochastic matrices. 5. Doubly stochastic matrices with minimum permanent. 6. Comparison of eigenvalues. 7.
T. Ando, Ando, T.
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Doubly stochastic circulant matrices
Discrete Mathematics, 1991 Let \(P_ n\) be the circulant matrix of order \(n\) with the first row of the form \((0,1,0,\ldots,0)\). Let \(G^ 2_ n\) denote the set of all \(n\times n\) doubly stochastic matrices of the form \(\alpha_ nI_ n+\beta P_ n+\gamma_ nP_ n^ 2\), and let \(\mu_ n\) denote the minimum value of the permanent on \(G^ 2_ n\). In the note the lower bound for \(\
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Double-null Operators and the Investigation of Birkhoff\'s Theorem on Discrete lp Spaces
پژوهشهای ریاضی, 2020 Doubly stochastic matrices play a fundamental role in the theory of majorization. Birkhoff's theorem explains the relation between $ntimes n$ doubly stochastic matrices and permutations.
Ali Bayati Eshkaftaki
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Combined Matrix of a Tridiagonal Toeplitz Matrix
AxiomsIn this work, combined matrices of tridiagonal Toeplitz matrices are studied. The combined matrix is known as the Relative Gain Array in control theory.
Begoña Cantó +2 more
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Stochastically Generated Digital Twins of 3D Solid‐State Electrolyte Architecture
Advanced Functional Materials, EarlyView.A stochastic model and validation suite were developed to produce the highest fidelity computer‐generated (Digital Twin) microstructures of random porous tape‐cast solid‐state battery architectures across µm to mm feature sizes from FIB‐SEM to X‐Ray µCT, respectively.
Jonathan O'Neill +9 more
wiley +1 more source
Linear maps preserving permutation and stochastic matrices [PDF]
, 2002 Let T be the set of n×n (sub)permutation matrices, doubly (sub)stochastic matrices, or the set of m×n column or row (sub)stochastic matrices. We characterize those linear maps T on the linear span of T that satisfy T(T)=T .
Li, Chi-Kwong +9 more
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A 3D Human Neuron‐on‐Chip Platform to Monitor Neuronal Injury Responses
Advanced Healthcare Materials, EarlyView.This study presents a novel 3D Neuron‐on‐Chip model that can maintain human PSC‐derived excitatory prefrontal cortex neurons in 3D hydrogels and can be used to monitor neuronal injury responses over time. Results show injury‐induced acute neuronal excitotoxicity, declining neuronal connectivity, and the activation of a neurodegenerative, SASP‐like ...
Ruiping Tang +16 more
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Variations in the sub-defect of doubly substochastic matrices
Special MatricesThe sub-defect of a doubly stochastic matrix AA, denoted as sd(A)=⌈n−sum(A)⌉sd\left(A)=\lceil n-{\rm{sum}}\left(A)\rceil , is defined as the minimum number of rows and columns required to be added to transform the doubly substochastic matrix into a ...
Cao Lei +2 more
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