In this paper a new algorithm for reducing an arbitrary real square matrix to tri-diagonal form using real similarity transformations is described. The method is essentially a generalization of a ...

Abstract: There have been a number of variant Simultaneous Localization and Mapping (SLAM) algorithms which have made substantial progress towards large-area scalability by parameterizing the SLAM ...

(/usr/share/texlive/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty (/usr/share/texlive/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty (/usr/share/texlive/texmf-dist/tex ...

A tag already exists with the provided branch name. Many Git commands accept both tag and branch names, so creating this branch may cause unexpected behavior. Are you sure you want to create this ...

ABSTRACT: This paper presents new numeric and symbolic algorithms for solving doubly bordered tridiagonal linear system. The proposed algorithms are derived using partition together with UL ...

ABSTRACT: The current paper is mainly devoted for solving centrosymmetric linear systems of equations. Formulae for the determinants of tridiagonal centrosymmetric matrices are obtained explicitly.

An illustration of a magnifying glass. An illustration of a magnifying glass.

For tri-diagonal matrices arising in the simplified Jaynes--Cummings model, we give an asymptotics of the eigenvalues, prove a trace formula and show that the Spectral Riemann Surface is irreducible.

An illustration of a magnifying glass. An illustration of a magnifying glass.