Linear algebra meets Lie algebra: the Kostant-Wallach theory

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Shomron, Noam; Parlett, Beresford N.;
  • Publisher: Elsevier BV
  • Journal: Linear Algebra and its Applications,volume 431,issue 10,pages1,745-1,767 (issn: 0024-3795)
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1016/j.laa.2009.06.007
  • Subject: Mathematics - Symplectic Geometry | Geometry and Topology | Mathematics - Rings and Algebras | Numerical Analysis | Algebra and Number Theory | Discrete Mathematics and Combinatorics

In two languages, Linear Algebra and Lie Algebra, we describe the results of Kostant and Wallach on the fibre of matrices with prescribed eigenvalues of all leading principal submatrices. In addition, we present a brief introduction to basic notions in Algebraic Geometr... View more
  • References (5)

    Beresford Parlett and Gilbert Strang. Matri es with pres ribed Ritz values.

    Linear Algebra Appl., 428(7):17251739, 2008.

    [KW2℄ Bertram Kostant and Nolan Walla h. GelfandZeitlin theory from the perspe -

    tive of lassi al me hani s. II. In The unity of mathemati s, volume 244 of Progr.

    Math., pages 387420. Birkhuser Boston, Boston, MA, 2006.

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