The moment and Gram matrices, distinct eigenvalues and zeroes, and rational criteria for diagonalizability
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Publication:1964335
DOI10.1016/S0024-3795(99)00169-XzbMath0943.15016WikidataQ127203037 ScholiaQ127203037MaRDI QIDQ1964335
Alexey K. Lopatin, Roger A. Horn
Publication date: 5 September 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57) Canonical forms, reductions, classification (15A21)
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\(4 \times 4\) irreducible sign pattern matrices that require four distinct eigenvalues ⋮ The minimal polynomial of some matrices via quaternions ⋮ Is every nonsingular matrix diagonally equivalent to a matrix with all distinct eigenvalues? ⋮ Unnamed Item ⋮ Exact rational solution of the matrix equation \(A=p(X)\) by linearization ⋮ Rank conditions for sign patterns that allow diagonalizability ⋮ Unnamed Item ⋮ Sign patterns that allow diagonalizability revisited
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