Jordanin lohko

Esimerkki Jordanin normaalimuodosta. Harmaat lohkot ovat Jordanin lohkoja.

Jordanin lohko on matriisi, jossa on nollasta poikkeavia alkioita vain diagonaalilla diagonaalin viereisillä lävistäjillä. Diagonaalin viereisillä lävistäjillä on ykkösiä ja diagonaalilla mitähyvänsä vakioita. Nämä diagonaalilla olevat vakiot ovat matriisin , jolle on laskettu Jordanin matriisihajotelma, ominaisarvoja. [1] Tätä lohkoa merkitään , jossa viittaa siihen, monesko lohko se on kyseisessä Jordanin perusmuodossa. Eli [2]

Lähteet

  1. ↑ Weisstein, Eric W.: Jordan Block MathWorld--A Wolfram Web Resource. Viitattu 30.10.2014.
  2. ↑ Elaydi, Saber: ”3. Systems of Linear Difference Equations”, An Introduction to Difference Equations, s. 142. Springer, 2000.

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