Results 61 to 70 of about 355,626 (313)
The Scientific World Journal, 2015 We investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a+b, under new conditions on a,b∈A.
Xiaoji Liu, Xiaolan Qin
doaj +1 more source
Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications
Ingeniería y Ciencia, 2016 In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar +2 more
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The N $$ \mathcal{N} $$ = 2 supersymmetric w 1+∞ symmetry in the two-dimensional SYK models
Journal of High Energy Physics, 2022 We identify the rank (q syk + 1) of the interaction of the two-dimensional N $$ \mathcal{N} $$ = (2, 2) SYK model with the deformation parameter λ in the Bergshoeff, de Wit and Vasiliev (in 1991)’s linear W ∞ [λ] algebra via λ = 1 2 q syk + 1 $$ \lambda =
Changhyun Ahn
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
The Berger-Wang formula for the Markovian joint spectral radius [PDF]
, 2014 The Berger-Wang formula establishes equality between the joint and generalized spectral radii of a set of matrices. For matrix products whose multipliers are applied not arbitrarily but in accordance with some Markovian law, there are also known analogs ...
Kozyakin, Victor
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Irredundant generating sets for matrix algebras
Linear Algebra and its Applications20 pages. Comments are welcome. Changes from last version: Very mild corrections.
Blumenthal, Yonatan, First, Uriya A.
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Revealing Protein–Protein Interactions Using a Graph Theory‐Augmented Deep Learning Approach
Advanced Intelligent Discovery, EarlyView.This study presents a fast, cost‐efficient approach for classifying protein–protein interactions by integrating graph‐theory parametrization with deep learning (DL). Multiscale features extracted from graph‐encoded polarized‐light microscopy (PLM) images enable accurate prediction of binding strengths.
Bahar Dadfar +5 more
wiley +1 more source
Maximal rank root subsystems of hyperbolic root systems
, 2003 A Kac-Moody algebra is called hyperbolic if it corresponds to a generalized Cartan matrix of hyperbolic type. We study root subsystems of root systems of hyperbolic algebras.
Tumarkin, P.
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Centralizing traces and Lie triple isomorphisms on generalized matrix algebras [PDF]
, 2014 Let be a generalized matrix algebra over a commutative ring and be the centre of . Suppose that is an -bilinear mapping and is the trace of . We describe the form of satisfying the condition for all .
Xinfeng Liang +3 more
semanticscholar +1 more source
Subalgebras of matrix algebras generated by companion matrices
Linear Algebra and its Applications, 2010 Let $f,g\in Z[X]$ be monic polynomials of degree $n$ and let $C,D\in M_n(Z)$ be the corresponding companion matrices. We find necessary and sufficient conditions for the subalgebra $Z< C,D>$ to be a sublattice of finite index in the full integral lattice $M_n(Z)$, in which case we compute the exact value of this index in terms of the resultant of
Guersenzvaig, N.H., Szechtman, Fernando
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