Positive semidefinite interval of matrix pencil and its applications to the generalized trust region subproblems
DOI10.1016/j.laa.2023.10.015arXiv2302.14352OpenAlexW4387824587MaRDI QIDQ6087885
Van-Bong Nguyen, Thi Ngan Nguyen
Publication date: 16 November 2023
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.14352
matrix pencilgeneralized trust region subproblemtrust region subproblemsimultaneously diagonalizable via congruencepositive semidefinite interval
Factorization of matrices (15A23) Commutativity of matrices (15A27) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45) Matrix pencils (15A22) Diagonalization, Jordan forms (15A20)
Cites Work
- Unnamed Item
- S-lemma with equality and its applications
- Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint
- Finding a positive semidefinite interval for a parametric matrix
- A canonical form for a pair of real symmetric matrices that generate a nonsingular pencil
- A recurring theorem about pairs of quadratic forms and extensions: A survey
- SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices
- Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint
- Hidden conic quadratic representation of some nonconvex quadratic optimization problems
- Simultaneous Diagonalization of Matrices and Its Applications in Quadratically Constrained Quadratic Programming
- A Revisit to Quadratic Programming with One Inequality Quadratic Constraint via Matrix Pencil
- Consensus-ADMM for General Quadratically Constrained Quadratic Programming
- A Linear-Time Algorithm for Generalized Trust Region Subproblems
This page was built for publication: Positive semidefinite interval of matrix pencil and its applications to the generalized trust region subproblems
