matrix eigenvalues eigenvectors qr decomposition gram schmidt svd numerical orthogonal projection factorization orthonormal householder vectors dominant eigenvalue eigenspaces onto projector singular value decomposition singular value decompostion false postion iteration regula falsi dichotomy bisection numerical method fixed-point iterative method numerical analysis newton raphson secant numerical iteration numerica newton raphson iteration method nonlinear equation subspace linear space subspaces inverse power method rayleigh quotient power method largest eigenvalue diagonal matrix determinant trace cayley-hamilton theorem t givens rotation morrison sherman transformation reduced rank full rank matrices process orthogonalization aitken's fixed-point numerical analysis finding root numerical analysis algebra
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