Results 31 to 40 of about 1,700,750 (206)
On Consistent and Weak Transitive Intuitionistic Fuzzy Matrices
Fuzzy Information and Engineering, 2022 In this paper, we discuss in detail several properties of two kinds of intuitionistic fuzzy matrices which they are consistent and weak transitive. The nilpotent and transitive intuitionistic fuzzy matrices play an important role in this discussion.
E. G. Emam
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Nilpotent-independent sets and estimation in matrix algebras [PDF]
LMS Journal of Computation and Mathematics, 2015 Efficient methods for computing with matrices over finite fields often involverandomisedalgorithms, where matrices with a certain property are sought via repeated random selection. Complexity analyses for such algorithms require knowledge of the proportion of relevant matrices in the ambient group or algebra.
Brian P. Corr +2 more
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The poset of the nilpotent commutator of a nilpotent matrix
Linear Algebra and its Applications, 2013 This revised version includes the results in the first two sections of the version submitted earlier in February 2012; more results are added and some proofs are refined.
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On the distance from a matrix to nilpotents
Linear Algebra and its Applications, 2023 We prove that the distance from an $n\times n$ complex matrix $M$ to the set of nilpotents is at least $\frac{1}{2}\sec\fracπ{n+2}$ if there is a nonzero projection $P$ such that $PMP=M$ and $M^*M\geq P$. In the particular case where $M$ equals $P$, this verifies a conjecture by G.W. MacDonald in 1995.
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On potentially nilpotent double star sign patterns [PDF]
, 2009 summary:A matrix $\Cal A$ whose entries come from the set $\{+,-,0\}$ is called a {\it sign pattern matrix}, or {\it sign pattern}. A sign pattern is said to be potentially nilpotent if it has a nilpotent realization.
Li, Honghai, Li, Jiongsheng
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The strong nilpotency index of a matrix [PDF]
Linear and Multilinear Algebra, 2013 14 ...
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source
Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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Arnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices
Nonlinear AnalysisArnold tongues of divergence in the Caputo fractional standard map of nilpotent matrices are explored in this paper. The scalar iterative variables in the Caputo fractional standard map are replaced by iterative matrix variables.
Ugnė Orinaitė +2 more
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Subspaces fixed by a nilpotent matrix
Orbita MathematicaeThe linear spaces that are fixed by a given nilpotent $n \times n$ matrix form a subvariety of the Grassmannian. We classify these varieties for small $n$. Mutiah, Weekes and Yacobi conjectured that their radical ideals are generated by certain linear forms known as shuffle equations. We prove this conjecture for $n \leq 7$, and we disprove it for $n=8$
Hahn, Marvin Anas +3 more
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