Geodesic
Jacobi matrices with prescribed eigenvalues and diagonal elements
Portugaliae mathematica, Tome 43 (1985) no. 1, pp. 105-111.

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Keywords: prescribed eigenvalues, Jacobi matrix, linear inequalities, complex tridiagonal matrix 
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     author = {Duarte, Ant\'onio Leal},
     title = {Jacobi matrices with prescribed eigenvalues and diagonal elements},
     journal = {Portugaliae mathematica},
     pages = {105--111},
     publisher = {mathdoc},
     volume = {43},
     number = {1},
     year = {1985},
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     zbl = {0606.15014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1985__43_1_114551/}
}
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Duarte, António Leal. Jacobi matrices with prescribed eigenvalues and diagonal elements. Portugaliae mathematica, Tome 43 (1985) no. 1, pp. 105-111. http://geodesic.mathdoc.fr/item/PORMA_1985__43_1_114551/