From b3ee7570e6e656d4909193519226cf57345a1381 Mon Sep 17 00:00:00 2001
From: Victor Kozyakin <57475371+kozyakin@users.noreply.github.com>
Date: Thu, 4 Jan 2024 15:03:27 +0300
Subject: [PATCH] sed replaced by powershell
---
jsrbib/JSRbib.html | 360 ++++++++++++++++++++++++-
latex2html/latex2html_via_tex4ht.html | 46 +++-
latex2html/latex2html_via_tex4ht.pdf | Bin 210802 -> 210603 bytes
latex2html/latex2html_via_tex4ht0x.svg | 2 +-
4 files changed, 404 insertions(+), 4 deletions(-)
diff --git a/jsrbib/JSRbib.html b/jsrbib/JSRbib.html
index 48bb761..23f683f 100644
--- a/jsrbib/JSRbib.html
+++ b/jsrbib/JSRbib.html
@@ -205,16 +205,20 @@
An annotated bibliography
- January 3, 2024
+ January 4, 2024
+
The proposed text is an attempt to provide a (constantly updated) list of publications on the convergence of infinite matrix products and the rate of their growth/decrease when the number of factors tends to infinity.
+
Of course, the papers mentioned below mainly reflect my personal interests. I may miss some papers that other people consider “very important”, or I may not know some of them, and I may also include links to papers that are of interest only to me.
+
The annotations to the works mentioned come from the abstracts of the publications themselves, and from the MathSciNet and zbMATH databases. Sometimes the annotations are slightly edited to combine all available sources.
+
The works mentioned in this text cover the following topics.
Joint/generalized spectral radius. Common concept
@@ -233,11 +237,13 @@
Finiteness conjecture
+
In this section we have included publications dealing with one of the most discussed problems of the joint/generalized spectral radius theory, which has significantly influenced almost all aspects of this theory.
@@ -257,11 +263,13 @@
Fi
+
Applications
+
The number of papers in which the theory of convergence of infinite matrix products is applied to other problems has grown very rapidly in recent years. Therefore, I am forced to limit the relevant reference list to those publications which mainly reflect my personal interests.
@@ -305,6 +313,7 @@
Application
+
@@ -327,11 +336,13 @@
Convergence of infinite matrix products
+
This section contains publications in which the problem of convergence of infinite matrix products is considered as a special case of the general theory.
@@ -339,11 +350,13 @@
+
Semigroups of matrices and the theory of Banach algebras
+
Joint/generalized spectral radius from the point of view of the general theory of matrix semigroups and the theory of Banach algebras.
@@ -363,6 +376,7 @@
@@ -382,11 +396,13 @@
+
Algorithms
+
This section describes some of the algorithms used to compute the joint/generalized spectral radius and related problems.
The problem of stability of linear dynamic systems with switchings is considered. It is known that an irreducible \(d\)-dimensional system always has an invariant Lyapunov norm (Barabanov norm), which determines the stability of the system and the order of growth of its trajectories. We prove that in the case of \(d=2\) the invariant norm is a piecewise analytic function and can be constructed explicitly for any system with a finite number of matrices. A construction method, an algorithm for calculating the Lyapunov exponent, and a method for determining the stability of the system are presented. A complete classification of invariant norms of planar systems is obtained. A criterion for the uniqueness of an invariant norm for a given system has been proven, and norms of a special type have been studied (norms generated by polygons, etc.).
After a while I discovered that the most suitable way for me is to join Tex4ht with MathJax. And the simplest way was to run the following command to process test.tex file:
make4ht -s test.tex "myconfig" " -cunihtf -utf8"
+
and after that, if one wants to embed into resulted test.html the css-file test.css generated during previous command, one should issue one the following command
Unfortunately, it turned out that reference in conjunction TeX4ht+MathJax works well when they referenced sections, subsections and other structure element that are in text mode, but when you are trying to reference the label of equation you are getting ???.
+
The problem is turned out to be rather easily solvable: to reference labels of equations, align or other things in math mode you should put the calling \eqref or \ref in a math environment, e.g. by surrounding them by $’s or \(…\). Another way is to redefine the command \eqref in order that it will be invoked in math mode automatically (see the appropriate string in the config file myconfig.cfg.
Here, the reference to \tag{OneIsNotOne Condition} in previous equation is as follows: \(\mathrm {(\ref {E:mycond})}\)
+
\begin {align} a & =1\label {A} \\ b & =0\label {B} \end {align}
+
Example of references: we have equation \(\mathrm {(\ref {eq})}\) from Sec. 1. Or \(\ref {A}\)-\(\mathrm {(\ref {B})}\).
+
3How to cope with TikZ figures
+
Tex4th supports TikZ, however, for correct displaying text and math symbols in TikZ picture, it is needed to put in the preamble of tex file the following lines, before TikZ package loading:
Remark With recent versions of GhostScript (\(>\)=10.02.0) in your TeX system and dvisvgm (\(<\)3.1.1), tex4th creates a corrupted version of the svg file, by including the following uncommented string (from GhostScript output) in its first lines: “The old, written in PostScript, PDF interpreter has been removed entirely. You should cease using -dNEWDPF as it has no effect n”. This should be recovered when dvisvgm version \(>\)=3.1.1 will be installed in your LaTeX system.
+
One way to recover: If it is your case and you will see no normal picture in the created html file, then this string must be removed manually in the generated svg file using any text editor so that this file to be displayed normally in the html output!
+
Another way to recover (until it will be recovered by creators of GhostScript or dvisvgm). Find the file pdf_main.ps in your TeX system. For example, in TeXLive it is placed in the directory ...\texlive\2023\tlpkg\tlgs\Resource\Init. After that, replace in this file the following fragment of code:
@@ -355,6 +380,7 @@
with the following one:
@@ -362,9 +388,25 @@
+
After that, the spurious string in the generated svg file disappears and this file will be happily accepted by the resulting html file! □
+
+
+
+
+
+
References
+
+
+
+
+
+
+
[1]Al-Nayef A., Diamond P., Kloeden P. et al. Bi-shadowing and delay equations // Dynam. Stability Systems. 1996. Vol. 11, no. 2. P. 121–134.