Application of Tree-like Structure of Graph to Matrix Analysis

Details Application of Tree-like Structure of Graph to Matrix Analysis Application of Tree-like Structure of Graph to Matrix Analysis

2000-01-28

arxiv.org/abs/math/0001163v1

Mathematics

Combinatorics

LaTeX, 11 pages

Scientific paper

Formulas for matrix determinants, algebraic adjunctions, characteristic
polynomial coefficients, components of eigenvectors are obtained in the form of
signless sums of matrix elements products taking by special graphs. Signless
formulas are very important for singular and stochastic problems. They are also
useful for spectral analysis of large very sparse matrices.

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