Characterization of the Oblique Projector $U(VU)^+V$ with Application to Constrained Least Squares
Ale\v{s} \v{C}ern\'y
TL;DR
This paper fully characterizes the oblique projector $U(VU)^+V$ in general cases and explores its application to constrained least squares problems.
Contribution
It provides a comprehensive analysis of the oblique projector without the assumption of complementary subspaces, extending its applicability.
Findings
Complete characterization of the oblique projector in general cases
Insights into the structure of constrained least squares problems
Potential for improved computational methods in related applications
Abstract
We provide a full characterization of the oblique projector in the general case where the range of and the null space of are not complementary subspaces. We discuss the new result in the context of constrained least squares minimization.
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