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Positive matrices and graphs

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Positive 1D and 2D Systems

Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

Let R nxm be the set of nxm matrices with entries from the real field R.

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References

  1. H Wielandt, Unzerlegbare nicht-negative Matrizen,Math. Zeit.Vol. 52,1950,642–648.

    Article  MathSciNet  MATH  Google Scholar 

  2. T Minc, Nonnegative Matrices, Wiley, New York, 1988.

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  3. F R Gantmacher, Teorija Matric, Nauka, Moskwa, 1967

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  4. T Kaczorek, Vectors and Matrices in Electrotechnics and Automation, WNT, Warszawa, 1998 (in Polish).

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  5. F R Gantmacher, M G Krejn, Oscyljacjonnyje matricy i jadra i ma yje Kolebanija Mechaniczeskich System.Gostechizdat, Moskwa,1950.

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  6. A Berman, R Plemmons, Nonnegative Matrices in the Mathematical Sciences,Academic Press, New York, 1979.

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  7. L Farina, S Rinaldi, Positive Linear Systems, Theory and Applications, J. Wiley, New York, 2000.

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© 2002 Springer-Verlag London

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Kaczorek, T. (2002). Positive matrices and graphs. In: Positive 1D and 2D Systems. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0221-2_1

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  • DOI: https://doi.org/10.1007/978-1-4471-0221-2_1

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1097-2

  • Online ISBN: 978-1-4471-0221-2

  • eBook Packages: Springer Book Archive

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