Bounds for determinants

DOI10.1016/0024-3795(69)90032-9zbMath0207.04201OpenAlexW2050552215MaRDI QIDQ2543014

D. E. Crabtree, D. W. Bailey

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0024-3795(69)90032-9

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Related Items (18)

Geršgorin variations. IV: A left eigenvector approach. ⋮ Some remarks on a theorem of Gudkov ⋮ Invertibility of irreducible matrices ⋮ Some new two-sided bounds for determinants of diagonally dominant matrices ⋮ The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications ⋮ Diagonal-Schur complements of Nekrasov matrices ⋮ Bounds for the determinants of Nekrasov and \(S\)-Nekrasov matrices ⋮ The closure property of the Schur complement for Nekrasove matrices and its applications in solving large linear systems with Schur-based method ⋮ A nonsingularity criterion for matrices ⋮ Nekrasov tensors and nonsingular \({\mathcal {H}}\)-tensors ⋮ On bounding inverses to Nekrasov matrices in the infinity norm ⋮ On invertibility and positive invertibility of matrices ⋮ On a Condition for the Nonsingularity of a Matrix ⋮ Estimates for the inverse of a matrix ⋮ Singularity, Wielandt's Lemma and singular values ⋮ On the approximate solution of the delay integral equation of the statistical theory of radiation damage ⋮ On \(\{P_1,P_2\}\)-Nekrasov matrices ⋮ On Nekrasov matrices

Cites Work

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• Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen
• Note on bounds for certain determinants
• Bounds for permanents, determinants, and Schur functions
• Bounds for determinants with dominant main diagonal
• Bounds for Determinants with Positive Diagonals
• On the Characteristic Roots of Matrices
• A Recurring Theorem on Determinants
• Note on Bounds for Determinants with Dominant Principal Diagonal
• An Inequality for Latent Roots Applied To Determinants with Dominant Principal Diagonal
• Bounds for Determinants with Dominant Principal Diagonal
• A Bound for a Determinant with Dominant Main Diagonal

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