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Singular spaces of matrices and their application in combinatorics

✍ Scribed by László Lovász


Book ID
112787285
Publisher
Springer
Year
1989
Tongue
English
Weight
669 KB
Volume
20
Category
Article
ISSN
1678-7714

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📜 SIMILAR VOLUMES


Spaces of Singular Matrices and Matroid
✍ Boaz Gelbord; Roy Meshulam 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 99 KB

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

Bipartitional polynomials and their appl
✍ Ch.A. Charalambides 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 365 KB

Bipartitional polynomials are multivariable polynomials Y ,",\*=Ynln(CYOI~CYlorCY,I~..-rCYlnn)r Ck'Ck, defined by a sum over ail partitions of the bpartite number (mn). Recurrence relations, generating functions and some basic properties or these polynomials are given. Applications in Combinatorics

Jacobi Approximations in Certain Hilbert
✍ Ben-yu Guo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 241 KB

Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation ŕesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.

Block matrices and their applications in
✍ A.G. Bakirtzis; J.G. Vlachogiannis 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 539 KB

This paper discusses the application of block matrices in electric power systems. The storage requirements and the factorization of sparse network type block matrices are discussed. Two recent methods for partial refactorization of sparse matrices are generalized for sparse matrices with variable si