AKAR ke-m DARI MATRIKS KOMPLEKS NON SINGULAR
| Main Author: | ARIFAH, NUR |
|---|---|
| Format: | Thesis NonPeerReviewed Book |
| Bahasa: | eng |
| Terbitan: |
, 2009
|
| Subjects: | |
| Online Access: |
http://eprints.umm.ac.id/887/1/AKAR_ke.pdf http://eprints.umm.ac.id/887/ |
Daftar Isi:
- One of a problem in matrix is how to find the m-th roots of non-singular complex matrix. To solve the problem, there are some steps regording to eigen value and vector from a matrix. Asumed that polinomil matrix P( λ) = In λm – A, where In is matrix identity from order n and λ is a variabel complex. A matrix B ∈ Mn is the m—th roots from A if and only if P(B) =Bm-A=0. As a result, problem from the m-th roots from A is highly related with spectral analysis from ) ( λ Ρ If an n x n complex matrix A is non-singular, then for every integer m > 1, A has an m-th root B.i.e., Bm = A, we can construct m-th roots of A the form 1 ) ( − Α Ρ Α Υ Υ = Β λ J ,where YA is Jordan Chain of P( λ).