Eylem Seç
Stability Analysis, Convex Hulls of Matrix Powers and Their Relations to P-matrices
Başlık:
Stability Analysis, Convex Hulls of Matrix Powers and Their Relations to P-matrices
Yazar:
Torres, Patrick Scott Kisa, author.
ISBN:
9780438104792
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 electronic resource (83 pages)
Genel Not:
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisors: Michael J. Tsatsomeros Committee members: Judith McDonald; Mark Schumaker.
Özet:
Invertibility of all convex combinations of an n x n matrix A and the n x n identity matrix I is equivalent to the real eigenvalues of A, if any, being positive. Moreover, invertibility of all matrices whose rows are convex combinations of the respective rows of A and I is equivalent to A having positive principal minors (i.e., being a P-matrix). In this dissertation, we extend these results by considering convex combinations of higher powers of A and of their rows. The invertibility of matrices in these convex hulls is associated with the eigenvalues of A lying in open sectors of the open right half-plane and provides a general context for the theory of matrices with P-matrix powers. We present a new result regarding the spectrum of A that holds as a consequence of assuming the invertibility of all infinite convex combinations of A and its powers.
Notlar:
School code: 0251
Konu Başlığı:
Tüzel Kişi Ek Girişi:
Mevcut:*
Yer Numarası | Demirbaş Numarası | Shelf Location | Lokasyon / Statüsü / İade Tarihi |
---|---|---|---|
XX(689853.1) | 689853-1001 | Proquest E-Tez Koleksiyonu | Arıyor... |
On Order
Liste seç
Bunu varsayılan liste yap.
Öğeler başarıyla eklendi
Öğeler eklenirken hata oldu. Lütfen tekrar deneyiniz.
:
Select An Item
Data usage warning: You will receive one text message for each title you selected.
Standard text messaging rates apply.