Copositive and Positive Quadratic Forms on Matrices
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DOI: 10.1007/s00025-019-1079-7
Abstract: A real symmetric quadratic form \(f = f(Z_1,\ldots ,Z_n)\) in the n non-commuting indeterminates \(Z_1,\ldots ,Z_n\) is said to be d-positive (respectively, d-copositive) if for all real symmetric (respectively, positive semidefinite) \((d \times d)\)-matrices \(A_1,\ldots… read more here.
Keywords: quadratic forms; copositive positive; positive quadratic; forms matrices ... See more keywords
On Schur Forms for Matrices with Simple Eigenvalues
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DOI: 10.3390/axioms13120839
Abstract: In this paper, we consider various aspects of the Schur problem for a square complex matrix A, namely the similarity unitary transformation of A into upper triangular form containing the eigenvalues of A on its… read more here.
Keywords: schur forms; forms matrices; simple eigenvalues; matrices simple ... See more keywords