Null space structure of tree-patterned matrices
โ Scribed by Peter Nylen
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 446 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
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 ร is S for each ร โ Q(A). It is a generalization of a number of important qualitative matrix classes such as L-matrices, S \* -matrices, tota
A solution is presented to the problem of qnthesis of transformless n-port resistive networks from terminal conductance matrices which are realizable with specified two-tree port structures. A formuhtion is established which enables the problem to be reduced to the well-known 8ynthesis of resietive