scientific article

zbMath1334.15002MaRDI QIDQ3449706

Helene Shapiro

Publication date: 5 November 2015

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

eigenvalueHermitian matriceseigenvectortextbookHadamard matricesnormal formfield of valuesJordan canonical formnonnegative matricesdirected graphinner product spacetriangularizationdiagonalizationmatrix normblock designerror-correcting codesnormal matricesspectral theoremmatrix factorizationunitary similaritylinear dynamical systemPerron-Frobenius theoremnormal spacevector normcombinatorial matrix theoryWeyr characteristicMcCoy's theoremBruck-Ryser-Chowla theoremMotzkin-Taussky theoremSchur triangularizationWeyr canonical formcirculant and block cycle matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear codes (general theory) (94B05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) 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) Dynamics induced by flows and semiflows (37C10) Quadratic and bilinear forms, inner products (15A63) Directed graphs (digraphs), tournaments (05C20) Canonical forms, reductions, classification (15A21) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01) Boolean and Hadamard matrices (15B34) Orthogonal matrices (15B10)

Related Items (7)

Reviews ⋮ Spectra, signless Laplacian and Laplacian spectra of complementary prisms of graphs ⋮ On Characteristic Invariants of Matrix Pencils and Linear Relations ⋮ Operators without eigenvalues in finite-dimensional vector spaces ⋮ On the Discrete Fourier Transform Eigenvectors and Spontaneous Symmetry Breaking ⋮ Reviews ⋮ Square roots of \(H\)-nonnegative matrices

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