New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations
In This Paper We Present for the First Time an Accurate, Fast, and Easy to Implement Numerical Algorithm to Find the Eigenvalues and Eigenvectors of the Equation L(X;λ) = (Rx)+px+λqx = 0. These Ideas Follow from a Theory of Quadratic Forms Given by the First Author and Will Be Applicable in a Wide Variety of Eigenvalue Problems. We Include Test Runs to Demonstrate that the Accuracy of Our Methods Are Superior to More Conventional Projection Methods. © 1981, Taylor & Francis Group, LLC. All Rights Reserved.
J. Gregory and R. W. Wilkerson, "New Numerical Algorithms for Eigenvalues and Eigenvectors of Second Order Differential Equations," Applicable Analysis, vol. 12, no. 1, pp. 47 - 56, Taylor and Francis Group; Taylor and Francis, Jan 1981.
The definitive version is available at https://doi.org/10.1080/00036818108839347
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01 Jan 1981