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Rational approximants to the matrix exponential

Rational approximants to the matrix exponential

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The letter develops a method for obtaining a square matrix eNAt such that every element of eNAt is a proper rational function of t and is an efficient approximant to the corresponding element of the matrix exponential exp (At). Some useful general properties of eNAt are deduced and various procedures for computing eNAt are discussed.

Inspec keywords: matrix algebra

Subjects: Algebra; Algebra

References

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      • V. Zakian . Rational approximation to the transfer-function matrix of distributed system. Electron. Lett. , 474 - 476
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      • C.E. Fröberg . (1979) , Introduction to numerical analysis.
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      • Zakian, V.: `Rational approximants to the matrix exponential', 113, Control Systems Centre report, October 1970.
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