On the approximate solution of matrix differential-algebraic boundary-value problems by the least-squares method

DOI10.1007/s10958-021-05231-7zbMath1462.34024OpenAlexW3128577346MaRDI QIDQ2227223

M. V. Dzyuba, O. V. Nesmelova, Sergeĭ Mikhaĭlovich Chuĭko

Publication date: 10 February 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05231-7

zbMATH Keywords

least square methodcontrol theoryimage reconstructionpseudo-solutionmatrix DAE boundary problem

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Linear ordinary differential equations and systems (34A30) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Degenerate Fredholm boundary-value problems
• On the approximate solution of autonomous boundary-value problems by the least-squares method
• Matrix Bernoulli equations. I
• The Green's operator of a generalized matrix differential-algebraic boundary value problem
• A generalized matrix differential-algebraic equation
• On the solvability of a matrix boundary-value problem
• Least-squares method in the theory of matrix differential-algebraic boundary-value problems
• Least-squares method in the theory of ill-posed linear boundary-value problems with pulse action
• On removing blur in images using least squares solutions
• Application of perturbation theory to the solvability analysis of differential algebraic equations
• A critical periodic boundary value problem for a matrix Riccati equation
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