Classification and approximation of solutions to Sylvester matrix equation

DOI10.2298/FIL1913261DzbMath1499.15048OpenAlexW3008329404MaRDI QIDQ5863932

Nebojša Č. Dinčić, Bogdan D. Djordjević

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1913261d

zbMATH Keywords

Frobenius normSylvester equationJordan normal formmatrix spectrumeigenvalues and eigenvectorsmatrix approximationsleast-squares solutionminimal-norm solution

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

On a singular Sylvester equation with unbounded self-adjoint \(A\) and \(B\) ⋮ Numerical solution of singular Sylvester equations ⋮ Yang-Baxter-Like Matrix Equation: A Road Less Taken ⋮ The Sylvester equation in Banach algebras ⋮ Singular Lyapunov operator equations: applications to \(C^*\)-algebras, Fréchet derivatives and abstract Cauchy problems ⋮ Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach ⋮ On the intrinsic structure of the solution set to the Yang-Baxter-like matrix equation

Cites Work

• Unnamed Item
• On a result of J.J. Sylvester
• On the operator equation \(BX - XA = Q\)
• The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems
• Bounds on variation of spectral subspaces under \(J\)-self-adjoint perturbations
• Solving the algebraic Riccati equation with the matrix sign function
• Krylov-subspace methods for the Sylvester equation
• On the operator equation \(AX-XB=C\) with unbounded operators \(A\), \(B\), and \(C\)
• Generalized inverses. Theory and applications.
• Solving the operator equation \(AX-XB = C\) with closed \(A\) and \(B\)
• The polynomial solution to the Sylvester matrix equation
• Matrix Analysis
• Linear model reduction and solution of the algebraic Riccati equation by use of the sign function†
• SPECTRAL PROPERTIES OF THE OPERATOR EQUATION AX + XB = Y
• How and Why to Solve the Operator Equation AX −XB = Y
• The group inverse of the nivellateur
• Linear Operator Equations
• A Finite Series Solution of the Matrix Equation $AX - XB = C$

This page was built for publication: Classification and approximation of solutions to Sylvester matrix equation