GraphMath

QRF & equations

Using QR factorization to solve consistent and inconsistent systems

This chapter shows how QR factorization simplifies the solution of systems of equations. It develops the role of QRF for consistent systems, compares QRF with row reduction, and explains why QR provides a cleaner route than normal equations for inconsistent systems.

Chapter contents

The chapter is available as a PDF. Page links below are best-effort: most browsers support them but some viewers may ignore the page hint.

Topic Pages
Utility for solving a consistent system A x⃗ = b⃗ 1
QRF vs row reduction 2
Utility for solving an inconsistent system A x⃗ = b⃗ 3–6
Normal equations vs QR method 6–7

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