matrix eigenvectors eigenvalues svd decomposition qr gram schmidt orthogonal numerical dominant eigenvalue singular value decompostion singular value decomposition eigenspaces householder factorization orthonormal vectors onto projector projection 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 numerical method regula falsi false postion iteration dichotomy bisection fixed-point iterative method numerical analysis newton raphson secant numerical iteration numerica newton raphson iteration method nonlinear equation subspace linear space subspaces algebra
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