Introduction to matrix analysis and applications
zbMath1321.15004MaRDI QIDQ5892201
Publication date: 6 October 2015
Published in: Texts and Readings in Mathematics (Search for Journal in Brave)
quantum theoryeigenvaluevon Neumann algebraHermitian matricesconvexitytextbooktracequantum information theorydeterminantKronecker productsubalgebraspositive matricestensor productmajorizationfunctional calculusSchur factorizationPick functionmatrix functionsmatrix analysissingular valueunitarily invariant normmatrix exponentialpartial orderingquantum Fisher informationCramer-Rao inequalitymatrix meansmatrix monotone functions\(UL\)-factorizationBoltzmann entropycanonical Jordan formcompletely positive mappingKadison's inequalitymatrix norm inequalities
Factorization of matrices (15A23) Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Algebraic systems of matrices (15A30) Multilinear algebra, tensor calculus (15A69) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
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