๐”– Bobbio Scriptorium
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The null space of spaces of singular matrices

โœ Scribed by Beasley, Leroy B.


Book ID
126514603
Publisher
Taylor and Francis Group
Year
1985
Tongue
English
Weight
228 KB
Volume
18
Category
Article
ISSN
0308-1087

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Null spaces of correlation matrices
โœ Wayne Barrett; Stephen Pierce ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB
Null space structure of tree-patterned m
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In this note, we study the null space structure ol' singular real symmetric matrices with undirected graph a tree. The main result is a relationship between the dimension of the nullspace of A, the zero-nonzero Pattern of the null vectors of A and the graph ol' A.

On Matrices with Signed Null-Spaces
โœ Kim, Si-Ju; Shader, Bryan L.; Hwang, Suk-Geun ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Society for Industrial and Applied Mathematics ๐ŸŒ English โš– 147 KB
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โœ Jia-Yu Shao; Ling-Zhi Ren ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 240 KB

A matrix A is said to have signed null space provided there exists a set S of sign patterns such that the set of sign patterns of vectors in the null space of รƒ is S for each รƒ โˆˆ Q(A). It is a generalization of a number of important qualitative matrix classes such as L-matrices, S \* -matrices, tota

Spaces of Singular Matrices and Matroid
โœ Boaz Gelbord; Roy Meshulam ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

Let V be a linear space of even dimension n over a field F of characteristic 0. A subspace W โŠ‚ โˆง 2 V is maximal singular if rank(w) โ‰ค n -1 for all w โˆˆ W and any W W โŠ‚ โˆง 2 V contains a nonsingular matrix. It is shown that if W โŠ‚ โˆง 2 V is a maximal singular subspace which is generated by decomposable