Explicit inverse of a band matrix with application to computing eigenvalues of a Sturm-Liouville system
作者： Riaz A. Usmani
DOI: 10.1016/0024-3795(87)90294-1
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摘要: Abstract The inverse of a symmetric tridiagonal matrix with variable entries is obtained in explicit form. It shown how this knowledge can be applied proving convergence classical finite difference method for computing eigenvalues two-point boundary-value problems associated the general regular Sturm-Liouville differential equation form (py′)′+ (λq−r)y = 0.
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