Numerical solution of systems of linear algebraic equations with ill-conditioned matrices

DOI10.1134/S1063454119040058zbMath1454.65026OpenAlexW2998443679MaRDI QIDQ2212406

A. V. Lebedeva, V. M. Ryabov

Publication date: 23 November 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454119040058

zbMATH Keywords

condition numberregularization methodill-posed problemsill-conditioned problemssystem of linear algebraic equations

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (3)

On regularization of the solution of integral equations of the first kind using quadrature formulas ⋮ Method of moments in the problem of inversion of the Laplace transform and its regularization ⋮ Regularization of the procedure for inverting the Laplace transform using quadrature formulas

Uses Software

• mftoolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Definitions and examples of inverse and ill-posed problems
• Functions of Matrices
• On the Condition of a Matrix Arising in the Numerical Inversion of the Laplace Transform

This page was built for publication: Numerical solution of systems of linear algebraic equations with ill-conditioned matrices