The Chebyshev solution of the linear matrix equation \(AX+YB=C\)

DOI10.1007/BF01389497zbMath0557.65024OpenAlexW2312972437MaRDI QIDQ761769

Krystyna Ziętak

Publication date: 1985

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01389497

zbMATH Keywords

algorithmnumerical exampleslinear matrix equationChebyshev errorChebyshev solutions

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items

Singular value and generalized singular value decompositions and the solution of linear matrix equations, Properties of the approximate generalized inverses of a class of matrices, Properties of the strict Chebyshev solutions of the linear matrix equation \(AX+YB=C\), The Chebyshev solution of certain matrix equations, Full-column rank solutions of the matrix equation \(AV\)=\(EVJ\), On solutions of matrix equation \(AXB+CYD=F\)

Cites Work

• Best approximation problems in tensor-product spaces
• Optimal cycles in doubly weighted graphs and approximation of bivariate functions by univariate ones
• Failure of the alternating algorithm for best approximation of multivariate functions
• The matrix equation \(AX-YB=C\)
• The Properties of the Minimax Solution of a Non-linear Matrix Equation XY = A
• Some best-approximation theorems in tensor-product spaces
• A computer program for the Chebyshev solution of overdetermined systems of linear equations
• Approximations in $L^p $ and Chebyshev Approximations
• Chebyshev Solution of n+1 Linear Equations in n + 1 n Unknowns
• Chebyshev and $l^1 $-Solutions of Linear Equations Using Least Squares Solutions
• The Equations AX - YB = C and AX - XB = C in Matrices
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