← Main book chapter 6
Contents / index
Browser back
← Previous chapter
Next chapter →
Laboratory
Memory
Cards
Sort
Match
Visuals
Coding
Quiz
Memory Cards
Memory Cards — Chapter 6
Each card contains a compact summary of what must be remembered from the chapter.
Shuffle on page
Reveal all
Hide all
Go to game cards
Eigenvalue problem
An eigenpair satisfies \(Av=\lambda v\). Eigenvalues encode modes, frequencies, growth/decay, and stability.
Power iteration
Power iteration converges to the dominant eigenvector when the largest eigenvalue in magnitude is separated.
QR iteration
QR iteration preserves eigenvalues through similarity transformations and reveals them in triangular or diagonal form.
Rayleigh quotient
The Rayleigh quotient gives an eigenvalue estimate from a candidate vector.
SVD link
Singular values reveal rank, conditioning, and geometric stretching.
Inverse iteration
Inverse iteration with a shift targets eigenvalues close to the shift.