Extension of a result of Haynsworth and Hartfiel
By Minghua Lin. 2014
59 citations recorded by the source corpus.
Haynsworth (Proc Am Math Soc 24:512–516, 1970) used a result of the Schur complement to refine a determinant inequality for positive definite matrices. Haynsworth’s result was improved by Hartfiel (Proc Am Math Soc 41:463–465, 1973). We extend their results to a larger class of matrices, namely, matrices whose numerical range is contained in a sector. Our proof relies on a number of new relations for the Schur complement of this class of matrices.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/8c15382caf0eda696aadeaec4a93e409dd884d93
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Some inequalities for sector matrices (2016, background): “This class of matrices has been the subject of a number of recent papers [3, 4, 5, 6, 8, 9].”