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| A fast algorithm to estimate the dominant eigenvalue of Real Symmetric Matrices and its application to C3 algorithm |
| SUI Jing-Kun, ZHENG Xiao-Dong, LI Yan-Dong |
| Research Institute of Petroleum Exploration and Development, Petrochina, Beijing 100083, China |
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Abstract The third-generation coherence algorithm,C3,is robust to suppress noise and posseses high resolution.However,the process of computing eigenvalues of the covariance matrix in C3 is time-consuming.To avoid computing all eigenvalues,this paper proposes a fast convergence algorithm based an eigenvalue estimation of real symmetric matrices to calculate the dominant eigenvalue.To control the precision of the algorithm,this paper presents an error evaluation formula.By adding traces along the boundary of the seismic data volume,we avoid judging whether the spatial window oversteps the boundary when recursion strategy is applied in a horizontal direction.The application to real data shows that the efficiency of C3 is improved by approxinately 3 times.
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Received: 10 March 2014
Published: 10 December 2014
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