Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture (Q1920174)
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scientific article; zbMATH DE number 918311
| Language | Label | Description | Also known as |
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| English | Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture |
scientific article; zbMATH DE number 918311 |
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Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture (English)
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11 March 1997
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The authors affirmatively settle the spectral conjecture proposed by \textit{R. S. Varga} in part I [SIAM J. Numer. Analysis 7, 493-507 (1970; Zbl 0221.15015)] and apply it to the sharpness of the minimal Gerschgorin set in the special case when the block-diagonal entries are null matrices. Finally the proof of the spectral conjecture is used to obtain the general sharpness of the boundaries of the associated minimal Gerschgorin sets for partitioned matrices.
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minimal Gerschgorin set
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spectral conjecture
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partitioned matrices
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