Nonnegative and positive definiteness of matrices modified by two matrices of rank one
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Publication:804677
DOI10.1016/0024-3795(91)90362-ZzbMath0728.15011MaRDI QIDQ804677
Jerzy K. Baksalary, Götz Trenkler
Publication date: 1991
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
characterizationHermitian matrixpositive definitemodification by a rank one matrixnonnegative definite
Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)
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Cites Work
- Three theorems with applications to Euclidean distance matrices
- Finding a positive semidefinite interval for a parametric matrix
- A note on the matrix ordering of special C-matrices
- The positive semidefiniteness of partitioned matrices
- Criteria for the validity of Fisher's condition for balanced block designs
- Mean square error matrix improvements and admissibility of linear estimators
- Mean square error matrix comparisons of estimators in linear regression
- Generalized Inversion of Modified Matrices
- Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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