A cramer rule for solution of the general restricted linear equation∗
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Publication:4291689
DOI10.1080/03081089308818219zbMath0796.15005OpenAlexW2022132163MaRDI QIDQ4291689
Publication date: 10 May 1994
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081089308818219
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Cites Work
- Unnamed Item
- The generalized Bott-Duffin inverse and its applications
- A Cramer rule for minimum-norm (T) least-squares (S) solution of inconsistent linear equations
- A Cramer rule for finding the solution of a class of singular equations
- A Cramer rule for least-norm solutions of consistent linear equations
- A Cramer rule for the least-norm, least-squared-error solution of inconsistent linear equations
- On extensions of Cramer's rule for solutions of restricted linear systems1
