Lower bounds for permanents of Gram matrices having a rank one principal submatrix

DOI10.1016/0024-3795(88)90063-8zbMath0658.15017OpenAlexW1985036569MaRDI QIDQ1111652

Thomas H. Pate

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0024-3795(88)90063-8

zbMATH Keywords

permanentslower boundsGram matricespositive semidefinite Hermitianrank one principal submatrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

Twisted inner products and contraction inequalities on spaces of contravariant and covariant tensors ⋮ Exterior products, elementary symmetric functions, and the Fischer determinant inequality ⋮ Group algebras, monotonicity, and the lieb permanent inequality

Cites Work

• Unnamed Item
• An inequality involving permanents of certain direct products
• Norm of symmetric product compared with norm of tensor product
• The Hadamard Theorem for Permanents

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