Invariant subspaces, derivative arrays, and the computation of the Drazin inverse

DOI10.1007/s10013-020-00401-7zbMath1470.65043OpenAlexW2997173422MaRDI QIDQ2022375

Peter Kunkel, Stephen L. Campbell

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.20/36956

zbMATH Keywords

Drazin inverseinvariant subspacesderivative arrayinverse computation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

Related Items (1)

Perturbation bounds for the group inverse and its oblique projection

Cites Work

• Unnamed Item
• Numerical solution of differential algebraic Riccati equations
• Continuity properties of the Drazin pseudoinverse
• On continuity of the Moore-Penrose and Drazin generalized inverses
• The algorithm for computing the Drazin inverses of two-variable polynomial matrices
• Iterative methods for the Drazin inverse of a matrix with a complex spectrum.
• Successive matrix squaring algorithm for computing the Drazin inverse
• A matrix iteration for finding Drazin inverse with ninth-order convergence
• Using Gauss-Jordan elimination to compute the index, generalized nullspaces, and Drazin inverse
• Representation and approximation for the Drazin inverse \(A^{(\text{d})}\)
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• A General Form for Solvable Linear Time Varying Singular Systems of Differential Equations
• Continuity of The Drazin inverse
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
• Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form
• Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory
• Two methods for computing the Drazin inverse through elementary row operations
• Numerical Linear Algebra
• The representation and approximation for Drazin inverse

This page was built for publication: Invariant subspaces, derivative arrays, and the computation of the Drazin inverse