On ADMM-based methods for solving the nearness symmetric solution of the system of matrix equations \(a_1 Xb_1 = C_1\) and \(a_2 Xb_2 = c_2\)
From MaRDI portal
Publication:6596589
DOI10.11948/20190282MaRDI QIDQ6596589
Publication date: 2 September 2024
Published in: Journal of Applied Analysis and Computation (Search for Journal in Brave)
Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06)
Cites Work
- Unnamed Item
- Unnamed Item
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- Rigorous convergence analysis of alternating variable minimization with multiplier methods for quadratic programming problems with equality constraints
- A new iterative algorithm for solving a class of matrix nearness problem
- LSQR iterative common symmetric solutions to matrix equations \(AXB = E\) and \(CXD = F\)
- An iterative method for symmetric solutions and optimal approximation solution of the system of matrix equations \(A_{1}XB_{1} = C_{1}, A_{2}XB_{2} = C_{2}\)
- An iterative algorithm for the least squares bisymmetric solutions of the matrix equations \(A_{1}XB_{1}=C_{1},A_{2}XB_{2}=C_{2}\)
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Dykstra's alternating projection algorithm for two sets
- Linear matrix equations from an inverse problem of vibration theory
- Finite element model updating in structural dynamics
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory
- An alternating direction method of multipliers for the solution of matrix equations arising in inverse problems
- On the matrix nearness problem for (skew-)symmetric matrices associated with the matrix equations (A_1XB_1, ..., A_kXB_k) = (C_1, ..., C_k)
- A matrix LSQR iterative method to solve matrix equationAXB=C
- Functional Operators (AM-21), Volume 1
- Best approximation in inner product spaces
This page was built for publication: On ADMM-based methods for solving the nearness symmetric solution of the system of matrix equations \(a_1 Xb_1 = C_1\) and \(a_2 Xb_2 = c_2\)