aicm
swMATH ID:  11487 
Software Authors:  Marletta, Marco 
Description:  Numerical solution of eigenvalue problems for Hamiltonian systems. The paper concerns an eigenvalue problem for a Hamiltonian system of ordinary differential equations with nonlinear dependence on a real eigenparameter λ. Separated boundary conditions are treated. The coefficients are at least continuously differentiable as a function of λ. Using Θ matrices of Atkinson the author constructs an increasing integervalued function M(λ) whose only points of increase are discontinuities at the eigenvalues, and the size of the discontinuity is equal to the multiplicity of the corresponding eigenvalue. The author describes two alternative approaches to the problem of computing the function M(λ). Some numerical experiments using these algorithms are presented. The author informs that both codes are fully documented and are written in Fortran 77, and will be available in netlib/aicm/sl11f and netlib/aicm/sl12f. 
Homepage:  http://www.netlib.org/aicm/ 
Dependencies:  netlib 
Keywords:  eigenvalue; Hamiltonian system; nonlinear dependence; numerical experiments 
Related Software:  SLEUTH; SLEIGN2; SLEDGE; LAPACK; Netlib 
Cited in:  11 Documents 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Numerical solution of eigenvalue problems for Hamiltonian systems. Zbl 0833.65083 Marletta, Marco 
1994

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Cited by 15 Authors
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Cited in 8 Serials
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