An interval extension of SMS method for computing weighted Moore-Penrose inverse
From MaRDI portal
Publication:723553
DOI10.1007/s10092-018-0257-4zbMath1397.65060OpenAlexW2789417621MaRDI QIDQ723553
Falguni Roy, Predrag S. Stanimirović, Dharmendra Kumar Gupta
Publication date: 24 July 2018
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-018-0257-4
interval arithmeticweighted Moore-Penrose inverseorder of convergenceinterval iterative methodsuccessive matrix squaring method
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Interval and finite arithmetic (65G30)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the computation of weighted Moore-Penrose inverse using a high-order matrix method
- Modified SMS method for computing outer inverses of Toeplitz matrices
- An efficient matrix iteration for computing weighted Moore-Penrose inverse
- A note on the perturbation of an outer inverse
- Interval iterative methods for computing Moore-Penrose inverse
- On Q-order and R-order of convergence
- Generalised matrix inversion and rank computation by successive matrix powering
- Successive matrix squaring algorithm for computing the Drazin inverse
- Numerical validation for systems of absolute value equations
- The representations and computations of generalized inverses \(A^{(1)}_{T,S}\), \(A^{(1,2)}_{T,S}\) and the group inverse
- Generalized inverses. Theory and applications.
- Computing enclosures for the inverse square root and the sign function of a matrix
- Algebraic properties of generalized inverses
- Computation of weighted Moore-Penrose inverse through Gauss-Jordan elimination on bordered matrices
- Effective partitioning method for computing weighted Moore-Penrose inverse
- On level-2 condition number for the weighted Moore-Penrose inverse
- Successive matrix squaring algorithm for computing outer inverses
- Convergence of Rump’s method for computing the Moore-Penrose inverse
- Verification methods: Rigorous results using floating-point arithmetic
- A note of computation for M-P inverseA†
- Mixed and component wise condition numbers for weighted Moore-Penrose inverse and weighted least squares problems
- The Representation of Complex Circular Functions Using Taylor Series
- Interval Methods for Systems of Equations
- Generalizing the Singular Value Decomposition
- Solving the Indefinite Least Squares Problem by Hyperbolic QR Factorization
- Some improvements on the convergence of the interval maor method
- An efficient quadratically convergent iterative method to find the Moore–Penrose inverse
- Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
- Verified error bounds for multiple roots of systems of nonlinear equations
