-
Free bianalytic maps between spectrahedra and spectraballs in a generic settingAugat, Meric ...Given a tuple ▫$E=(E_1,\dots,E_g)$▫ of ▫$d\times d$▫ matrices, the collection of those tuples of matrices ▫$X=(X_1,\dots,X_g)$▫ (of the same size) such that ▫$\| \sum E_j\otimes X_j\|\le 1$▫ is ... called a spectraball ▫$\mathcal B_E$▫. Likewise, given a tuple ▫$B=(B_1,\dots,B_g)$▫ of $e\times e$ matrices the collection of tuples of matrices ▫$X=(X_1,\dots,X_g)$▫ (of the same size) such that ▫$I + \sum B_j\otimes X_j +\sum B_j^* \otimes X_j^*\succeq 0$▫ is a free spectrahedron ▫$\mathcal D_B$▫. Assuming ▫$E$▫ and ▫$B$▫ are irreducible, plus an additional mild hypothesis, there is a free bianalytic map ▫$p:\mathcal B_E\to \mathcal D_B$▫ normalized by ▫$p(0)=0$▫ and ▫$p'(0)=I$▫ if and only if ▫$\mathcal B_E=\mathcal B_B$▫ and ▫$B$▫ spans an algebra. Moreover ▫$p$▫ is unique, rational and has an elegant algebraic representation.Vir: Interpolation and realization theory with applications to control theory : in honor of Joe Ball (Str. 43-60)Vrsta gradiva - članek, sestavni delLeto - 2019Jezik - angleškiCOBISS.SI-ID - 18673497
Avtor
Augat, Meric |
Helton, J. William, 1944- |
Klep, Igor, matematik |
McCullough, Scott
Teme
bianalitična preslikava |
biracionalna preslikava |
linearna matrična neenakost |
spektraeder |
konveksna množica |
Positivstellensatz |
realna algebraična geometrija |
bianalytic map |
birational map |
linear matrix inequality (LMI) |
spectrahedron |
convex set |
Positivstellensatz |
free analysis |
real algebraic geometry
Vnos na polico
Trajna povezava
- URL:
Faktor vpliva
Dostop do baze podatkov JCR je dovoljen samo uporabnikom iz Slovenije. Vaš trenutni IP-naslov ni na seznamu dovoljenih za dostop, zato je potrebna avtentikacija z ustreznim računom AAI.
Leto | Faktor vpliva | Izdaja | Kategorija | Razvrstitev | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Baze podatkov, v katerih je revija indeksirana
Ime baze podatkov | Področje | Leto |
---|
Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
---|---|
Augat, Meric | |
Helton, J. William, 1944- | |
Klep, Igor, matematik | 22353 |
McCullough, Scott |
Izberite prevzemno mesto:
Prevzem gradiva po pošti
Obvestilo
Gesla v Splošnem geslovniku COBISS
Izbira mesta prevzema
Mesto prevzema | Status gradiva | Rezervacija |
---|
Prosimo, počakajte trenutek.