IJPAM: Volume 115, No. 4 (2017)

Title

AN UPPER ESTIMATE FOR THE LARGEST SINGULAR
VALUE OF A SPECIAL MATRIX, I

Authors

Svetoslav I. Nenov
Department of Mathematics
University of Chemical Technology and Metallurgy
Sofia 1756, BULGARIA

Abstract

Our goal is to prove an upper bound for the largest singular value of the following matrix

\begin{displaymath} \boldsymbol A_0 = \boldsymbol D^{-1}\boldsymbol E\left(\bol... ...^t\boldsymbol D^{-1}\boldsymbol E\right)^{-1}\boldsymbol E^t. \end{displaymath}

Here $\cdot^t$ denotes the matrix transpose, $\boldsymbol D$ is a non-singular matrix, and $\boldsymbol E$ is thin matrix.

History

Received: January 29, 2017
Revised: May 20, 2017
Published: August 10, 2017

AMS Classification, Key Words

AMS Subject Classification: 15A18
Key Words and Phrases: singular value, bounds on the singular values of a matrix, moving least-squares approximation

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How to Cite?

DOI: 10.12732/ijpam.v115i4.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 4
Pages: 771 - 775


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