Numerical analysis of a quadratic matrix equation
By Nicholas John Higham, Hyun-Min Kim. 2000
175 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b64985f4e5080a5790f66a61a6c3c66b3d930e81
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Karl Meerbergen
- Françoise Tisseur
- Volker Mehrmann
- Nicholas John Higham
- John P. Nolan
- Defeng Sun
- Chandra R. Bhat
- H. Qi
In Computational Theory and Mathematics
- Volker Mehrmann
- Françoise Tisseur
- Nicholas John Higham
- Karl Meerbergen
- Laurence Grammont
- Dario Bini
- D. Steven Mackey
- Tatjana Stykel
In Mathematical Physics
Citations in the corpus
- NLEVP: A Collection of Nonlinear Eigenvalue Problems (2013, background): “Associated with an n× n matrix quadratic Q(λ) are the matrix equations XA+XB + C = 0 and AX +BX + C = 0, where the unknown X ∈ C is called a solvent [24], [31] [42].”
- Computations with infinite Toeplitz matrices and polynomials (2002, background): “Some conditions for the existence of the solution G of (3) are reported in [64].”
- The Quadratic Eigenvalue Problem (2001, methodology): “Theory on the existence of solvents is given in [40], [73], [74], [91, pp.”
- A framework for analyzing nonlinear eigenproblems and parametrized linear systems (2011, background): “2): they compute a solvent and thereby reduce the problem to solving one standard eigenvalue problem and one generalized eigenvalue problem [13,15].”