SIAM Journal on Matrix Analysis and Applications · 1994 · 81 citations · 1 references
Natural SciencesArchitectural TheoryDynamical SystemsLinear AlgebraMatrix ComputationOperator TheorySpectral AnalysisSpectral MethodsSpectral TheorySpectral DecompositionSpectral Theorem
This paper shows that a nonnegative ultrametric matrix A is nonsingular and that its inverse is a strictly diagonally dominant Stieltjes matrix. The method consists of studying the spectral decomposition of A by showing that A preserves a maximal filtration.
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