Abstract
In this chapter we discuss the role played by the Schur parameters in connection with the computation of the determinants of the positive completions of a positive partial matrix subjacent to a chordal graph. The problem of finding the completion with maximum determinant is also addressed as a generalization of the maximum entropy principle presented in Chapter 5. The behavior of the maximum determinant solution with respect to the operation of compression of matrices is analyzed in the last section.
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© 1996 Birkhäuser Verlag
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Constantinescu, T. (1996). Determinantal Formulae and Optimization. In: Schur Parameters, Factorization and Dilation Problems. Operator Theory Advances and Applications, vol 82. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9108-0_8
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DOI: https://doi.org/10.1007/978-3-0348-9108-0_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9910-9
Online ISBN: 978-3-0348-9108-0
eBook Packages: Springer Book Archive