Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics · 1967 · 21 citations · 0 references
Natural SciencesMathematicsAlgebraAbstract AlgebraLinear AlgebraMatrix ComputationMatrix StructureMatrix SystemsOperator TheoryDiagonal PropertiesMatrix SimilarityUnitary OperatorsUnitary Transformations
Simple proofs are given of the following classical theorems: (1) An arbitrary set of commuting matrices may be simultaneously brought to triangular form by a unitary similarity. (2) An arbitrary set of co mmuting normal matrices may be simultaneously brought to diagonal form by a unitary similarity.