Results 41 to 50 of about 1,499,755 (333)
Some New Algebraic Method Developments in the Characterization of Matrix Equalities
AxiomsAlgebraic expressions and equalities can be constructed arbitrarily in a given algebraic framework according to the operational rules provided, and thus it is a prominent and necessary task in mathematics and applications to construct, classify, and ...
Yongge Tian
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Representations of group rings and groups [PDF]
International Journal of Group Theory, 2018 An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrices is established. It is shown that for any group ring matrix $A$ of $mathbb{C} G$ there exists a matrix $U$ (independent of $A$) such that $U^{-1}AU= diag(
Ted Hurley
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Latent Multi-View Semi-Nonnegative Matrix Factorization with Block Diagonal Constraint
Axioms, 2022 Multi-view clustering algorithms based on matrix factorization have gained enormous development in recent years. Although these algorithms have gained impressive results, they typically neglect the spatial structures that the latent data representation ...
Lin Yuan +3 more
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Isospectral flows on a class of finite-dimensional Jacobi matrices
, 2012 We present a new matrix-valued isospectral ordinary differential equation that asymptotically block-diagonalizes $n\times n$ zero-diagonal Jacobi matrices employed as its initial condition. This o.d.e.\ features a right-hand side with a nested commutator
Chatterjee, Debasish +3 more
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Supercurrent Interactions in Noncommutative Yang-Mills and IIB Matrix Model [PDF]
, 2000 It is known that noncommutative Yang-Mills is equivalent to IIB matrix model with a noncommutative background, which is interpreted as a twisted reduced model.
Ambjorn +32 more
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Cross-social-network user alignment research based on multi-dimensional user features
Systems Science & Control EngineeringAccurately aligning the same users on different flat social networks to merge user information and create more nuanced user profiles is critical. However, the current research in this area faces challenges related to low efficiency and inadequate ...
Tao Zhao +4 more
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Pivot-Free Block Matrix Inversion [PDF]
2006 Eighth International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2006 We present a pivot-free deterministic algorithm for the inversion of block matrices. The method is based on the Moore-Penrose inverse and is applicable over certain general classes of rings. This improves on previous methods that required at least one invertible on-diagonal block, and that otherwise required row- or column-based pivoting, disrupting ...
openaire +3 more sources
On the Properties of the Power Systems Nodal Admittance Matrix
, 2017 This letter provides conditions determining the rank of the nodal admittance matrix, and arbitrary block partitions of it, for connected AC power networks with complex admittances.
Kettner, Andreas Martin, Paolone, Mario
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Polyphase networks, block digital filtering, LPTV systems, and alias-free QMF banks: a unified approach based on pseudocirculants [PDF]
, 1988 The relationship between block digital filtering and quadrature mirror filter (QMF) banks is explored. Necessary and sufficient conditions for alias cancellation in QMF banks are expressed in terms of an associated matrix, derived from the polyphase ...
Mitra, Sanjit K., Vaidyanathan, P. P.
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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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