Geodesic
To solving inverse eigenvalue problems for matrices
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIV, Tome 395 (2011), pp. 142-153

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The paper considers additive and multiplicative inverse eigenvalue problems and suggests a solution method based on the connection of inverse problems with the problem of computing the regular spectrum of a multiparameter pencil of constant matrices corresponding to the problem considered. Necessary and sufficient conditions for the solvability of inverse eigenvalue problems are established. 
@article{ZNSL_2011_395_a11,
     author = {V. N. Kublanovskaya},
     title = {To solving inverse eigenvalue problems for matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {142--153},
     publisher = {mathdoc},
     volume = {395},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2011_395_a11/}
}
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V. N. Kublanovskaya. To solving inverse eigenvalue problems for matrices. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXIV, Tome 395 (2011), pp. 142-153. http://geodesic.mathdoc.fr/item/ZNSL_2011_395_a11/