Roth's theorems for matrix equations with symmetry constraints
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Publication:1322877
DOI10.1016/0024-3795(94)90358-1zbMath0796.15014OpenAlexW2051987861WikidataQ127526573 ScholiaQ127526573MaRDI QIDQ1322877
Publication date: 10 October 1994
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(94)90358-1
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Generalization of Roth's solvability criteria to systems of matrix equations ⋮ On the solvability of generalized Sylvester operator equations ⋮ On T-Sylvester equations over commutative rings ⋮ Backward errors and small-sample condition estimation for ⋆-Sylveter equations ⋮ On the relation between additive and multiplicative decompositions of rational matrix functions ⋮ A note on Sylvester-type equations ⋮ The solutions of the quaternion matrix equation \(AX^\varepsilon + BX^\delta = 0\) ⋮ The solution of the equation \(AX + X^{\star}B =0\) ⋮ Uniqueness of solution of a generalized \(\star\)-Sylvester matrix equation ⋮ Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra ⋮ Projection methods for large-scale T-Sylvester equations ⋮ When is a Hamiltonian matrix the commutator of two skew-Hamiltonian matrices? ⋮ A system of matrix equations and a linear matrix equation over arbitrary regular rings with identity ⋮ Algebraic conditions for the solvability to some systems of matrix equations ⋮ Coupled Sylvester-type Matrix Equations and Block Diagonalization ⋮ Stochastic gradient descent and fast relaxation to thermodynamic equilibrium: A stochastic control approach ⋮ The solution of the equationAX + BX⋆ = 0
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