Kolmogorov's complexity for positive definite matrices

DOI10.1016/S0024-3795(01)00354-8zbMath0996.15017MaRDI QIDQ5957191

Masatoshi Fujii, Jun Ichi Fujii

Publication date: 31 October 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacepositive definite matricespositive operatorsmatrix spectrumcomplexity rangeoperator entropyspectral order

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (2)

Vigier's theorem for the spectral order and its applications ⋮ Spectral shorted matrices.

Cites Work

• Majorization, doubly stochastic matrices, and comparison of eigenvalues
• A note on the entropy for operator algebras
• Spectral order and a matrix limit theorem
• The Selfadjoint Operators of a Von Neumann Algebra Form a Conditionally Complete Lattice
• A remark on the spectral order of operators
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