Equivalent formulae for the supremum and stability of weighted pseudoinverses

DOI10.1090/S0025-5718-97-00899-5zbMath0893.15001OpenAlexW2065138478MaRDI QIDQ4372655

Musheng Wei

Publication date: 16 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-97-00899-5

zbMATH Keywords

stabilityconstrained optimizationinterior-point methodssupremumlinear least squares problemsweighted pseudoinverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Theory of matrix inversion and generalized inverses (15A09) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items (4)

On growth factors of the modified Gram-Schmidt algorithm ⋮ Weighted projections and Riesz frames ⋮ Some new properties of the equality constrained and weighted least squares problem ⋮ On accurate error estimates for the quaternion least squares and weighted least squares problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The geometry of the set of scaled projections
• On bounds for scaled projections and pseudoinverses
• A geometric property of the least squares solution of linear equations
• On scaled projections and pseudoinverses
• Algebraic properties of the rank-deficient equality-constrained and weighted least squares problems
• The geometry of basic, approximate, and minimum-norm solutions of linear equations
• Upper bound and stability of scaled pseudoinverses
• Matrix Analysis
• Towards a Generalized Singular Value Decomposition
• Path-Following Methods for Linear Programming
• Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
• Modifying the QR-Decomposition to Constrained and Weighted Linear Least Squares
• Stable Numerical Algorithms for Equilibrium Systems
• On Linear Least-Squares Problems with Diagonally Dominant Weight Matrices
• Stability of Linear Equations Solvers in Interior-Point Methods
• Stability of Symmetric Ill-Conditioned Systems Arising in Interior Methods for Constrained Optimization

This page was built for publication: Equivalent formulae for the supremum and stability of weighted pseudoinverses