A semi-iterative method for real spectrum singular linear systems with an arbitrary index
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Publication:1379018
DOI10.1016/S0377-0427(97)00169-6zbMath0899.65020MaRDI QIDQ1379018
Michael Neumann, Avram Sidi, Joan-Josep Climent
Publication date: 9 February 1998
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
performancealgorithmconvergencenumerical examplesDrazin inversesingular linear systemsemi-iterative method
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Iterative numerical methods for linear systems (65F10)
Related Items (26)
Global-DGMRES method for matrix equationAXB = C ⋮ Characterizations and representations for the Drazin inverse of anti-triangular block operator matrices with index less than two ⋮ Representation of the Drazin inverse for special block matrix ⋮ Generalized bilateral inverses ⋮ Generalized core-EP inverse for square matrices ⋮ Perturbation analysis of singular linear systems with arbitrary index. ⋮ Iterative methods for the Drazin inverse of a matrix with a complex spectrum. ⋮ Comment on ``condition number of Drazin inverse and their condition numbers of singular linear systems ⋮ Convergence properties of Krylov subspace methods for singular linear systems with arbitrary index ⋮ Gradient methods for computing the Drazin-inverse solution ⋮ New methods for computing the Drazin-inverse solution of singular linear systems ⋮ New algorithms for solving singular linear system ⋮ Comment on ``Condition number of \(W\)-weighted Drazin inverse and their condition numbers of singular linear systems ⋮ Properties and computation of continuous-time solutions to linear systems ⋮ On the convergence rate of DGMRES ⋮ The representation and approximation for Drazin inverse ⋮ A note on different subclass of index-proper splittings for singular matrices ⋮ Condition number related with \(W\)-weighted Drazin inverse and singular linear systems ⋮ Condition number for the Drazin inverse and the Drazin-inverse solution of singular linear system with their condition numbers ⋮ DGMRES: A GMRES-type algorithm for Drazin-inverse solution of singular nonsymmetric linear systems ⋮ New perturbation bounds for the \(W\)-weighted Drazin inverse ⋮ Further results on the group inverse of some anti-triangular block matrices ⋮ A note on the formulas for the Drazin inverse of the sum of two matrices ⋮ Representations of the Drazin inverse on solution of a class singular differential equations ⋮ A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution ⋮ Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system
Cites Work
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- The near-best solution of a polynomial minimization problem by the Carathéodory-Fejér method
- On the solution of singular linear systems of algebraic equations by semiiterative methods
- Development of iterative techniques and extrapolation methods for Drazin inverse solution of consistent or inconsistent singular linear systems
- A Chebyshev-like semiiteration for inconsistent linear systems
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