\documentstyle[twoside]{applm07}
\pagestyle {headings}

\begin{document}
\abstitle{Instructions for Preparing the Abstract}
\absauthor{Sanja Singer and Sa\v{s}a Singer}

\begin{abstract}
	This file serves as an illustration of how to prepare a \LaTeX\ file
for an Abstractbook. For preparing abstract, you need only the style file
{\tt applm07.sty}.

	Style {\tt applm07.sty} is prepared in somewhat oldfashioned way.
You may \LaTeX\ your document using either \LaTeX $2\varepsilon$ (in
compatibility mode) or old \LaTeX\ 2.09.

	Your abstract should not be longer then one page (author addresses
excluded).

	Please, follow the restrictions mentioned here:
\begin{itemize}
  \item[(1)] You are not allowed to input any other style option.
  \item[(2)] Math formulas can be entered as usual. Please, don't
	use numbered equations, theorem--like environments, etc.
	There are additional math--things predefined in style.
	For set of natural and real numbers, mathops, etc.,
	please use
	\small
	\begin{displaymath}
		\begin{array}{ll}
		\hbox{\tt $\backslash$N} & \N \\
		\hbox{\tt $\backslash$Z} & \Z \\
		\hbox{\tt $\backslash$Q} & \Q \\
		\hbox{\tt $\backslash$R} & \R \\
		\hbox{\tt $\backslash$C} & \C
		\end{array}\hspace{4.5mm}
		\begin{array}{ll}
		\hbox{\tt $\backslash$const} & \const \\
		\hbox{\tt $\backslash$diag} & \diag \\
		\hbox{\tt $\backslash$grad} & \grad \\
		\hbox{\tt $\backslash$Range} & \Range \\
		\hbox{\tt $\backslash$rank} & \rank 
		\end{array}\hspace{4.5mm}
		\begin{array}{ll}
		\hbox{\tt $\backslash$supp} & \supp \\
		\hbox{\tt $\backslash$divg} & \divg \\
		\hbox{\tt $\backslash$rot} & \rot \\
		\hbox{\tt $\backslash$card} & \card \\
		\hbox{\tt $\backslash$fl} & \fl
		\end{array}\hspace{4.5mm}
		\begin{array}{ll}
		\hbox{\tt $\backslash$tr} & \tr \\
		\hbox{\tt $\backslash$sign} & \sign \\
		\hbox{\tt $\backslash$Real} & \Real \\
		\hbox{\tt $\backslash$Imag} & \Imag \\
		\hbox{\tt $\backslash$gtlt} & \gtlt
		\end{array}\hspace{4.5mm}
		\begin{array}{ll}
		\hbox{\tt $\backslash$ltgt} & \ltgt \\
		\hbox{\tt $\backslash$bfdiv} & \bfdiv \\
		\hbox{\tt $\backslash$bfmod} & \bfmod \\
		\hbox{} & \\
		\hbox{} & 
		\end{array}
	\end{displaymath}\normalsize

  \item[(3)] Style file has predefined Croatian characters 
	\dj (type {\tt $\backslash$dj} to obtain it) and
	\Dj (type {\tt $\backslash$Dj}).
	Usage: for example, {\tt $\backslash$Dj ur$\backslash$dj ica}
	gives \Dj ur\dj ica.
  \item[(4)] Please do not use bibliography in this document. But
	if you absolutely need it, follow the instructions here. 
	The bibliography style uses numeric labels. The title should be
	in italics, lower case for article titles, mixed upper-lower case
	for book titles as shown below. The style uses alphabetic order.
	Abbreviations of journals should be from Mathematical Reviews.
	Author names are typesetted in smallcaps style and should
	start with initials. The bibliography below shows how to cite an
	article, an article in proceedings (or collection), a book, and a
	Ph.D.\ thesis. If you use BIB\TeX\ you should use the bibliography
	style {\tt siam}. Include your {\tt bbl} files after the closed
	{\tt $\backslash$end{abstract}} command as done here. 
  \item[(5)] Please fill {\tt $\backslash$authoraddress} field at the end of
	the document for each author of the abstract (see bottom of the
	document). The first parameter is author's name (full), and the
	second is full author's address. If you have an e--mail address,
	and homepage, please fill fields {\tt $\backslash$email} and
	{\tt $\backslash$homepage} respectively. If you haven't got
	email, please leave this fields empty, and fill {\tt $\backslash$fax}
	field (telefax number).
\end{itemize}
\end{abstract}

\begin{thebibliography}{1}

\bibitem{Bini-PanV-91}
{\sc D.~A. Bini and V.~Y. Pan}, {\em Parallel complexity of tridiagonal
  symmetric eigenvalue problem}, in Proceedings of the 2nd Annual {ACM}--{SIAM}
  Symposium on Discrete Algorithms, San Francisco, California, Jan~28--30,
  1991., Philadelphia, 1991, {ACM} and {SIAM}, pp.~384--393.

\bibitem{Demmel-89}
{\sc J.~W. Demmel}, {\em On floating point errors in {C}holesky}, Technical
  Report {CS}--89--87, University of Tennessee, Knoxville, Oct. 1989.
\newblock Also, {LAPACK} Working Note 14.

\bibitem{HighamN-93a}
{\sc N.~J. Higham}, {\em The accuracy of floating point summation}, {SIAM} J.
  Sci. Comput., 14 (1993), pp.~783--799.

\bibitem{HighamN-96}
\leavevmode\vrule height 2pt depth -1.6pt width 23pt, {\em Accuracy and
  Stability of Numerical Algorithms}, SIAM, Philadelphia, 1996.

\bibitem{SingerS-93}
{\sc S.~Singer}, {\em Computing the eigendecomposition of a positive definite
  matrix}, master's thesis, Department of Mathematics, University of Zagreb,
  1993.
\newblock (In Croatian).

\bibitem{Slapnicar-92a}
{\sc I.~Slapni{\v{c}}ar}, {\em Accurate Symmetric Eigenreduction by a Jacobi
  Method}, PhD thesis, Fern{U}niversit{\"{a}}t--{G}esamthochschule, Hagen,
  1992.

\end{thebibliography}
%
%
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\authoraddress{Sanja Singer}{Faculty of Mechanical Engineering and Naval
	Architecture, University of Zagreb, Ivana Lu\v{c}i\'{c}a 5,
	10000 Zagreb, Croatia.}
\email{ssinger@math.hr}
\homepage{}
\fax{}

\authoraddress{Sa\v{s}a Singer}{Department of Mathematics,
	University of Zagreb, P.O.~Box 335, 10002 Zagreb, Croatia.}
\email{singer@math.hr}
\homepage{www.math.hr/\~{}singer}
\fax{}
\end{document}
