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Title
Volume Preserving Recurrent Neural Networks (VPRNN)
Date
2021
Author
Taylor-Melanson, William
Genre
Honours
Abstract
Volume Preserving Neural Networks (VPNN) are Artificial Neural Networks comprised solely of volume preserving transformations, with the possible...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
Enhancement and parameter reduction of networks for image classification
Date
2021
Author
Anderson, Logan
Genre
Honours
Abstract
Over the past few years, there has been a push to make neural networks larger and although this has many benefits, it can be difficult to run these...
Publisher
University of Prince Edward Island
Publication Status
PUBLISHED
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Title
A note on the structure of matrix ^*-subalgebras with scalar diagonals
Source
Operators and Matrices
Date
2021
Author
MacDonald, Gordon; Mastnak, Mitja; Omladič, Matjaž; Radjavi, Heydar
Genre
Journal Article
Abstract
We characterize those unital, self-adjoint algebras of complex n×n matrices that are simultaneously unitarily similar to algebras in which every...
Issue
1
Start Page
39
DOI
10.7153/oam-2021-15-03
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Title
Hilbert space operators with compatible off-diagonal corners
Source
ArXiv
Date
2017
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
Given a complex, separable Hilbert space H, we characterize those operators for which kP T(I − P)k = k(I − P)T Pk for all orthogonal projections P...
Volume
1709.01840v1
DOI
10.1016/j.jfa.2018.04.002
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Title
A Perron-Frobenius-type theorem for positive matrix semigroups
Source
Positivity
Date
2016
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Start Page
1
DOI
10.1007/s11117-016-0403-7
Publication Status
PUBLISHED
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Title
A simultaneous Wielandt positivity theorem
Source
Positivity
Date
2015
Author
MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
19
Issue
1
Start Page
149
DOI
10.1007/s11117-014-0289-1
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Title
A spatial version of Wedderburn's principal theorem
Source
Linear and Multilinear Algebra
Date
2015
Author
Livshits, L.; MacDonald, G. W.; Marcoux, L. W.; Radjavi, H.
Genre
Journal Article
Volume
63
Issue
6
Start Page
1216
DOI
10.1080/03081087.2014.925452
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Title
Paratransitive algebras of linear operators
Source
Linear Algebra and its Applications
Date
2013
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
In this article we study a natural weakening – which we refer to as paratransitivity – of the well-known notion of transitivity of an algebra AA of...
Volume
439
Issue
7
Start Page
1955
DOI
10.1016/j.laa.2013.05.027
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Title
Paratransitive algebras of linear operators II
Source
Linear Algebra and its Applications
Date
2013
Author
Livshits, L.; MacDonald, G.; Marcoux, L.W.; Radjavi, H.
Genre
Journal Article
Abstract
In this paper, the authors continue the analysis, first undertaken in Livshits et al. (2013) [2], of algebras AA of linear transformations on an n...
Volume
439
Issue
7
Start Page
1974
DOI
10.1016/j.laa.2013.05.028
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Title
On the dimension of linear spaces of nilpotent matrices
Source
Linear Algebra and its Applications
Date
2012
Author
MacDonald, G. W.; MacDougall, J. A.; Sweet, L. G.
Genre
Journal Article
Volume
436
Start Page
2210
DOI
10.1016/j.laa.2011.10.028
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Title
Composition operators on the Newton space
Source
Journal of Functional Analysis
Date
2011
Author
MacDonald, Gordon; Rosenthal, Peter
Genre
Journal Article
Volume
260
Issue
9
Start Page
2518
DOI
10.1016/j.jfa.2011.01.011
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Title
Universal bounds for matrix semigroups
Source
Studia Mathematica
Date
2011
Author
Livshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
203
Issue
1
Start Page
69
DOI
10.4064/sm8421-3-2016
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Title
Multiplicative diagonals of matrix semigroups
Source
Electronic Journal of Linear Algebra
Date
2011
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Volume
22
Start Page
252
DOI
10.13001/1081-3810.1438
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Title
Positive matrix semigroups with binary diagonals
Source
Positivity
Date
2011
Author
Livshits, L.; MacDonald, G.; Radjavi, H.
Genre
Journal Article
Volume
15
Issue
3
Start Page
411
DOI
10.1007/s11117-010-0092-6
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Title
A Kadison transitivity theorem for $C\sp *$-semigroups
Source
Journal of Functional Analysis
Date
2008
Author
Livshits, L.; MacDonald, G.; Marcoux, L. W.; Radjavi, H.
Genre
Journal Article
Volume
254
Issue
1
Start Page
246
DOI
10.1016/j.jfa.2007.09.013
Publication Status
PUBLISHED
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Title
Distance from Idempotents to Nilpotents
Source
Canadian Journal of Mathematics / Journal Canadien de Mathématiques
Date
2007
Author
MacDonald, Gordon W.
Genre
Journal Article
Volume
59
Issue
3
Start Page
638
DOI
10.4153/CJM-2007-027-x
Publication Status
PUBLISHED
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Bookmarks:
Title
Topologically transitive matrix semigroups
Source
Operators and Matrices
Date
2007
Author
Livshits, Leo; MacDonald, Gordon; Radjavi, Heydar
Genre
Journal Article
Volume
1
Issue
2
Start Page
165
DOI
10.7153/oam-01-11
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Title
Standard triangularization of semigroups of non-negative operators
Source
Journal of Functional Analysis
Date
2005
Author
MacDonald, Gordon W.; Radjavi, Heydar
Genre
Journal Article
Volume
219
Issue
1
Start Page
161
DOI
10.1016/j.jfa.2004.04.002
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Title
Common fixed points and common eigenvectors for sets of matrices
Source
Linear and Multilinear Algebra
Date
2005
Author
Bernik, J.; Drnovsek, R.; Kosir, T.; Laffey, T.; MacDonald, Gordon W.; Meshulam, R.; Omladic, M.; Radjavi, H.
Genre
Journal Article
Abstract
The following questions are studied: Under what conditions does the existence of a (nonzero) fixed point for every member of a semigroup of...
Volume
53
Issue
2
Start Page
137
DOI
10.1080/03081080410001714714
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Title
Operator semigroups for which reducibility implies decomposability
Source
Positivity
Date
2003
Author
Livshits, L.; MacDonald, Gordon W.; Mathes, B.; Radjavi, H.
Genre
Journal Article
Abstract
A description of the lattice of invariant subspaces is provided for multiplicative semigroups S of bounded operators on L-p(X, mu) which are closed...
Volume
7
Issue
3
Start Page
195

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