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Notations and Abbreviations
Manipulation of Vectors and Matrices
14 other sections not shown
algebra approximate assume Ax=b band matrix Chapter characteristic pair characteristic polynomial characteristic roots characteristic value problem Chebyshev norm choose clearly column vector condition number convergence define denote determine discuss dominant characteristic value dominant characteristic vector error euclidean vector norm evaluate factorization Find the characteristic Gaussian Gaussian elimination Gerschgorin circles given gives Hence hermitian Hilbert matrix inequality inverse iteration Jacobi process linear lower triangular matrix Math matrix norm multiplications non-singular normal nXn matrix observe obtained orthogonal matrix orthogonal similarity perturbation positive definite power method proof pseudo-inverse quadratic form rank Rayleigh quotient rotations satisfy scalar singular value decomposition Solve the system spectral radius steepest descent strictly dominant diagonal submultiplicative Suppose symmetric matrix system of equations theorem tion triangular matrix triple diagonal matrix two-dimensional unitary unitary matrix upper triangular values and vectors vector norm Write a program zero