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Definition of Dominant Eigenvalue and Dominant Eigenvector
college.cengage.comthen the power method will converge quickly if is small, and slowly if is close to 1. This principle is illustrated in Example 5. EXAMPLE 5 The Rate of Convergence of the Power Method (a) The matrix has eigenvalues of and So the ratio is 0.1. For this matrix, only four iterations are required to obtain successive approximations that agree when