Results 41 to 50 of about 641 (72)
Lines of full rank matrices in large subspaces
, 2015 Let $n$ and $p$ be non-negative integers with $n \geq p$, and $S$ be a linear subspace of the space of all $n$ by $p$ matrices with entries in a field $\mathbb{K}$. A classical theorem of Flanders states that $S$ contains a matrix with rank $p$ whenever $
Pazzis, Clément de Seguins
core +2 more sources
On decompositions of estimators under a general linear model with partial parameter restrictions
Open Mathematics, 2017 A general linear model can be given in certain multiple partitioned forms, and there exist submodels associated with the given full model. In this situation, we can make statistical inferences from the full model and submodels, respectively.
Jiang Bo, Tian Yongge, Zhang Xuan
doaj +1 more source
Linear preservers on strictly upper triangular matrix algebras
, 2013 Let Sn(F) be the algebra of all n×n strictly upper triangular matrices over a filed F . In this note, we characterize linear maps φ : Sn(F)→Sn(F) , with |F| 3 , that preserve the adjugate function; i.e., ad j(φ(A)) = φ(ad j(A)) . Also, some results about
A. Jafarian
semanticscholar +1 more source
, 2013 Maximality of a contractive tuple of operators is considered. Characterization of a contractive tuple to be maximal is obtained. Notion of maximality of a submodule of Drury-Arveson module on the $d$-dimensional unit ball $\mathbb{B}_d$ is defined.
Das, B. Krishna +2 more
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Possible numbers of x’s in an {x, y}-matrix with a given rank
Open Mathematics, 2017 Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.
Ma Chao
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Neutrosophic Hypervector Spaces
, 2010 The objective of this paper is to study neutrosophic hypervector spaces. Some basic definitions and properties of the hypervector spaces are generalized. AMS (2010): 03B60, 15A03, 20A05, 20N20, 97H40.
A. Agboola, S. Akinleye
semanticscholar +1 more source
The Nullity Theorem for Principal Pivot Transform
, 2013 We generalize the nullity theorem of Gustafson [Linear Algebra Appl. (1984)] from matrix inversion to principal pivot transform. Several special cases of the obtained result are known in the literature, such as a result concerning local complementation ...
Brijder, Robert
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On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs
, 2015 The principal permanent rank characteristic sequence is a binary sequence $r_0 r_1 \ldots r_n$ where $r_k = 1$ if there exists a principal square submatrix of size $k$ with nonzero permanent and $r_k = 0$ otherwise, and $r_0 = 1$ if there is a zero ...
Horn, Paul +5 more
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Bilinear characterizations of companion matrices
Special Matrices, 2014 Companion matrices of the second type are characterized by properties that involve bilinear maps.
Lin Minghua, Wimmer Harald K.
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Minor-closed classes of binary functions [PDF]
Discrete Mathematics & Theoretical Computer ScienceBinary functions are a generalisation of the cocircuit spaces of binary matroids to arbitrary functions. Every rank function is assigned a binary function, and the deletion and contraction operations of binary functions generalise matroid deletion and ...
Benjamin R. Jones
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