Explicit Solution of the Inverse Eigenvalue Problem of Real Symmetric Matrices and Its Application to Electrical Network Synthesis
2008 ◽
Vol 2008
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pp. 1-25
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Keyword(s):
A novel procedure for explicit construction of the entries of real symmetric matrices with assigned spectrum and the entries of the corresponding orthogonal modal matrices is presented. The inverse eigenvalue problem of symmetric matrices with some specific sign patterns (including hyperdominant one) is explicitly solved too. It has been shown to arise thereof a possibility of straightforward solving the inverse eigenvalue problem of symmetric hyperdominant matrices with assigned nonnegative spectrum. The results obtained are applied thereafter in synthesis of driving-point immittance functions of transformerless, common-ground, two-element-kindRLCnetworks and in generation of their equivalent realizations.
2000 ◽
pp. 387-407
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Keyword(s):
2013 ◽
Vol 444-445
◽
pp. 625-627
Keyword(s):
2013 ◽
Vol 219
(17)
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pp. 9261-9269
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2021 ◽
Vol 389
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pp. 113361