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Inversion of matrices and matrix functions as a nonlinear discrete system: Stability and sensitivity analysis

Inversion of matrices and matrix functions as a nonlinear discrete system: Stability and sensitivity analysis

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A technique for the recursive inversion of matrices and matrix functions is presented. The proposed method can be modelled as a discrete nonlinear dynamic system. Convergence, stability and robustness properties are discussed and eventually verified through various numerical experiments.

Inspec keywords: matrix algebra; convergence; discrete time systems; sensitivity analysis; nonlinear dynamical systems; stability; inverse problems

Other keywords: stability; convergence; inverse problem; matrix functions; robustness; discrete time system; sensitivity analysis; nonlinear dynamic system

Subjects: Stability in control theory; Nonlinear control systems; Algebra; Discrete control systems; Control system analysis and synthesis methods

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