✦ LIBER ✦

Non-commutative linear algebra and plurisubharmonic functions of quaternionic variables

✍ Scribed by Semyon Alesker

Publisher: Elsevier Science
Year: 2003
Tongue: French
Weight: 255 KB
Volume: 127
Category: Article
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(02)00004-0

No coin nor oath required. For personal study only.

✦ Synopsis

We remind known and establish new properties of the Dieudonné and Moore determinants of quaternionic matrices. Using these linear algebraic results we develop a basic theory of plurisubharmonic functions of quaternionic variables.

📜 SIMILAR VOLUMES

A non-linear beam space-time finite elem

A non-linear beam space-time finite element formulation using quaternion algebra: interpolation of the Lagrange multipliers and the appearance of spurious modes

✍ C. Bottasso 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 645 KB

In this work a three-field space-time beam finite element formulation is expressed in quaternion algebra. The unitary quaternion condition is enforced by means of an extension of the augmented Lagrangian method. The continuity requirements implied by the constrained energy principle obtained in thi