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Matrix Mappings on the Domains of Invertible Matrices [PDF]

open access: goldJournal of Function Spaces and Applications, 2013
We focus on sequence spaces which are matrix domains of Banach sequence spaces. We show that the characterization of a random matrix operator , where and are matrix domains with invertible matrices and , can be reduced to the characterization of the ...
Muhammed Altun
doaj   +5 more sources

Restricted invertibility of continuous matrix functions [PDF]

open access: diamondOperators and Matrices, 2022
23 ...
Fan, Adrian   +6 more
openaire   +4 more sources

Characterizations of the group invertibility of a matrix revisited [PDF]

open access: goldDemonstratio Mathematica, 2022
A square complex matrix AA is said to be group invertible if there exists a matrix XX such that AXA=AAXA=A, XAX=XXAX=X, and AX=XAAX=XA hold, and such a matrix XX is called the group inverse of AA.
Tian Yongge
doaj   +2 more sources

Extension Problem to an Invertible Matrix [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1993
For a complex commutative Banach algebra \(\mathcal A\) with unit let \({\mathcal A}_{nk}\) denote the set of \(n\times k\) matrices over \(\mathcal A\).
V. A. Tolokonnikov
openaire   +2 more sources

Investigate Invertibility of Sparse Symmetric Matrix [PDF]

open access: green, 2017
In this paper, we investigate the invertibility of sparse symmetric matrices. We show that for an $n\times n$ sparse symmetric random matrix $A$ with $A_{ij} = _{ij} _{ij}$ is invertible with high probability. Here, $ _{ij}$s, $i\ge j$ are i.i.d. Bernoulli random variables with $\mathbb{P} \left( _{ij}=1 \right) =p \ge n^{-c}$, $ _{ij}, i\ge j ...
Wei Feng
openaire   +3 more sources

Two invertible networks for the matrix element method

open access: yesSciPost Physics, 2023
The matrix element method is widely considered the ultimate LHC inference tool for small event numbers. We show how a combination of two conditional generative neural networks encodes the QCD radiation and detector effects without any simplifying ...
Anja Butter, Theo Heimel, Till Martini, Sascha Peitzsch, Tilman Plehn
doaj   +3 more sources

Effect of Self-Invertible Matrix on Cipher Hexagraphic Polyfunction [PDF]

open access: goldCryptography, 2019
A cryptography system was developed previously based on Cipher Polygraphic Polyfunction transformations, C i × j ( t ) ≡ A i × i t P i × j m o d N where C i × j , P i × j , A i
Sally Lin Pei Ching, Faridah Yunos
doaj   +2 more sources

S-matrix bootstrap and non-invertible symmetries

open access: yesJournal of High Energy Physics
We initiate the S-matrix bootstrap analysis of theories with non-invertible symmetries in (1+1) dimensions. Our previous work [1] showed that crossing symmetry of S-matrices in such theories is modified, with modification characterized by the fusion ...
Christian Copetti   +2 more
doaj   +5 more sources

On the Inverting of a General Heptadiagonal Matrix [PDF]

open access: greenBritish Journal of Applied Science & Technology, 2016
In this paper, we developed new numeric and symbolic algorithms to find the inverse of any nonsingular heptadiagonal matrix. Symbolic algorithm will not break and it is without setting any restrictive conditions. The computational cost of our algorithms is $O(n)$.
A. A. Karawia
openaire   +4 more sources

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