Detail publikace

Discrete Symplectic Systems and Definiteness of Quadratic Functionals

RŮŽIČKOVÁ, V.

Originální název

Discrete Symplectic Systems and Definiteness of Quadratic Functionals

Anglický název

Discrete Symplectic Systems and Definiteness of Quadratic Functionals

Jazyk

en

Originální abstrakt

In the dissertation thesis we present results about the definiteness of dicrete quadratic functionals related to discrete symplectic systems. The work contains introduction and three main chapters. The first chapter is devoted to preliminary results from the matrix theory, in particular to properties of symplectic matrices. The second chapter introduces some important matrices and an augmented symplectic system, and several Picone-type identities are proven there. These are used in proofs in the third chapter which contains roundabout theorems with equivalent conditions for the positivity and nonnegativity of discrete quadratic functionals.

Anglický abstrakt

In the dissertation thesis we present results about the definiteness of dicrete quadratic functionals related to discrete symplectic systems. The work contains introduction and three main chapters. The first chapter is devoted to preliminary results from the matrix theory, in particular to properties of symplectic matrices. The second chapter introduces some important matrices and an augmented symplectic system, and several Picone-type identities are proven there. These are used in proofs in the third chapter which contains roundabout theorems with equivalent conditions for the positivity and nonnegativity of discrete quadratic functionals.

Dokumenty

BibTex


@phdthesis{BUT66791,
  author="Viera {Štoudková Růžičková}",
  title="Discrete Symplectic Systems and Definiteness of Quadratic Functionals",
  annote="In the dissertation thesis we present results about the definiteness of dicrete quadratic functionals related to discrete symplectic systems.
The work contains introduction and three main chapters. The first chapter is devoted to preliminary results from the matrix theory, in particular to properties of symplectic matrices. The second chapter introduces some important matrices and an augmented symplectic system, and several Picone-type identities are proven there. These are used in proofs in the third chapter which  contains roundabout theorems with equivalent conditions for the positivity and nonnegativity of discrete quadratic functionals.",
  chapter="66791",
  journal="Nezařazené články",
  year="2006",
  month="may",
  type="dissertation"
}