Extension of a result of Haynsworth and Hartfiel
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Publication:2514379
DOI10.1007/s00013-014-0717-2zbMath1391.15070arXiv1410.5140OpenAlexW2025250757MaRDI QIDQ2514379
Publication date: 3 February 2015
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.5140
Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)
Related Items (48)
Generalizing the Ando-Hiai inequality for sectorial matrices ⋮ Some generalizations of inequalities for sector matrices ⋮ Means and the Schur complement of sector matrices ⋮ Further extensions of Hartfiel's determinant inequality to multiple matrices ⋮ Inequalities for the Heinz mean of sector matrices ⋮ Inequalities on 2 × 2 block positive semidefinite matrices ⋮ Mean inequalities for sector matrices involving positive linear maps ⋮ Generalizations of the Brunn-Minkowski inequality ⋮ Some results involving multiple matrices ⋮ More inequalities on numerical radii of sectorial matrices ⋮ An extension of Hartfiel's determinant inequality ⋮ On sectorial matrices and their inequalities ⋮ More generalizations of Hartfiel's inequality and the Brunn-Minkowski inequality ⋮ Logarithmic mean of multiple accretive matrices ⋮ Some logarithmic submajorisations and determinant inequalities for operators with numerical ranges in a sector ⋮ Extensions of Hartfiel's inequality to multiple matrices ⋮ New inequalities for sector matrices applying Garg-Aujla inequalities ⋮ Unnamed Item ⋮ Extensions of Fischer's inequality ⋮ Extending a refinement of Koteljanskiĭ's inequality ⋮ Operator monotone functions on accretive matrices ⋮ Further refinements of the Tan-Xie inequality for sector matrices and its applications ⋮ Some inequalities for sector matrices ⋮ Extensions of Brunn-Minkowski's inequality to multiple matrices ⋮ On the weighted geometric mean of accretive matrices ⋮ Weighted geometric mean of two accretive matrices ⋮ Extending a result of Haynsworth ⋮ Analogues of some determinantal inequalities for sector matrices ⋮ More inequalities for sector matrices ⋮ Extension of Matic's results ⋮ Schatten q-norms and determinantal inequalities for matrices with numerical ranges in a sector ⋮ On some generalizations of the Brunn-Minkowski inequality ⋮ An extension of the AM-GM-HM inequality ⋮ More extensions of a determinant inequality of Hartfiel ⋮ An extension of the Fiedler-Markham determinant inequality ⋮ On some inequalities for sector matrices ⋮ From positive to accretive matrices ⋮ A refinement of Rotfel'd type inequality for partitioned matrices with numerical ranges in a sector ⋮ THE MIXED AM-GM AND GM-HM INEQUALITIES ⋮ Some reverse mean inequalities for operators and matrices ⋮ Extensions of some matrix inequalities related to trace and partial traces ⋮ A note on more inequalities for sector matrices ⋮ Inequalities for the Heinz mean of sector matrices involving positive linear maps ⋮ On some inequalities for accretive-dissipative matrices ⋮ On the logarithmic mean of accretive matrices ⋮ Popoviciu type inequalities for determinants ⋮ Inequalities for arithmetic–geometric–harmonic means of sector matrices ⋮ On a reverse of the Tan-Xie inequality for sector matrices and its applications
Cites Work
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- The Schur complement and its applications
- A note on the growth factor in Gaussian elimination for accretive-dissipative matrices
- Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
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- Fischer determinantal inequalities and Higham's conjecture
- Reversed determinantal inequalities for accretive-dissipative matrices
- Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
- Factorizing complex symmetric matrices with positive definite real and imaginary parts
- An Extension of Haynsworth's Determinant Inequality
- On the growth factor in Gaussian elimination for generalized Higham matrices
- Applications of an Inequality for the Schur Complement
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