On iterative methods for the quadratic matrix equation with M-matrix
Copyright policy )On iterative methods for the quadratic matrix equation with M-matrix
The authors consider a kind of quadratic matrix equations (QME) arising from an overdamped vibrating system.Under the assumed \(M\)-matrix structure for the coefficient matrices the authors show that Newton's method and Bernoulli's method with an initial zero matrix converge nonincreasingly to the primary solvent of the QME.
- Changsha University of Science and Technology China (People's Republic of)
- Hunan University of Technology China (People's Republic of)
Iterative numerical methods for linear systems, \(M\)-matrix, Newton's method, convergence, primary solvent, quadratic matrix equation, Other matrix algorithms, Matrix equations and identities, Bernoulli's method
Iterative numerical methods for linear systems, \(M\)-matrix, Newton's method, convergence, primary solvent, quadratic matrix equation, Other matrix algorithms, Matrix equations and identities, Bernoulli's method
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