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‎.github/workflows/build.yml‎

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---
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name: 'Build LaTeX Document with Biber'
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on:
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push:
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branches:
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- trunk
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jobs:
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build:
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runs-on: ubuntu-latest
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steps:
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- name: Checkout
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uses: actions/checkout@v4
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- uses: actions/cache@v3
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name: Tectonic Cache
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with:
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path: ~/.cache/Tectonic
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key: ${{ runner.os }}-tectonic-${{ hashFiles('**/*.tex') }}
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restore-keys: |
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${{ runner.os }}-tectonic-
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- uses: wtfjoke/setup-tectonic@v3
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with:
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github-token: ${{ secrets.GITHUB_TOKEN }}
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biber-version: '2.17'
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- name: Build slides
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working-directory: assignment/01/protokol
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run: tectonic -X build
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- name: Upload report
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uses: actions/upload-artifact@v3
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with:
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name: SVD_protokol
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path: |
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assignent/01/protokol/build/*/*.pdf

‎.gitignore‎

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build/

‎assignment/01/README.md‎

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# Singular Value Decomposition
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This repository contains MATLAB implementations of Singular Value Decomposition (SVD) algorithms using the Jacobi diagonalization method, as part of a university assignment in programming with MATLAB.
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## Contents
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- `Singular Value Decomposition/`: MATLAB scripts implementing SVD and related functions
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- `SVD_sq.m`: SVD for square matrices
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- `diag_decomp.m`: Jacobi diagonalization for symmetric matrices
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- `max_non_diag_elem.m`: Finds the maximum non-diagonal element
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- `rotation_matrix.m`: Generates rotation matrices for Jacobi method
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- `protokol/`: LaTeX source for the assignment report
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- `protokol.pdf`: Compiled report (in Czech)
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## Author
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Martin Kunz
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This repository contains MATLAB implementations of Singular Value Decomposition (SVD) algorithms using the Jacobi
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diagonalization method, as part of a university assignment in programming with MATLAB.

‎assignment/01/protokol/Makefile‎

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‎assignment/01/protokol/Tectonic.toml‎

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[doc]
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name = "protokol"
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bundle = "https://data1.fullyjustified.net/tlextras-2022.0r0.tar"
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[[output]]
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name = "SVD_protokol"
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type = "pdf"

‎assignment/01/protokol/src/_postamble.tex‎

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\end{document}

‎assignment/01/protokol/src/_preamble.tex‎

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\RequirePackage{luatex85}
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\documentclass[czech]{article}
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\usepackage[czech]{babel}
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\usepackage{amsmath,amssymb,mathtools,mathrsfs}
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\usepackage{indentfirst}
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\usepackage[unicode, bookmarks]{hyperref}
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\usepackage{enumitem}
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\usepackage[a4paper,left=1.5cm,right=1.5cm,top=1.5cm,bottom=1.5cm]{geometry}
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\newcommand\C{\ensuremath{\mathbb{C}}}
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\newcommand\R{\ensuremath{\mathbb{R}}}
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\newcommand\Z{\ensuremath{\mathbb{Z}}}
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\usepackage{physics}
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\usepackage{multicol}
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\usepackage{nicematrix}
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\NiceMatrixOptions{nullify-dots}
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\setcounter{MaxMatrixCols}{20}
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\let\narrowtilde\tilde
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\renewcommand\tilde\widetilde
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\let\narrowhat\hat
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\renewcommand\hat\widehat
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\title{Singular Value Decomposition}
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\author{Martin Kunz}
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\begin{document}

‎assignment/01/protokol/main.tex‎ renamed to ‎assignment/01/protokol/src/index.tex‎

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\RequirePackage{luatex85}
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\documentclass[czech]{article}
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\usepackage[czech]{babel}
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\usepackage{amsmath,amssymb,mathtools,mathrsfs}
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\usepackage{indentfirst}
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\usepackage[unicode, bookmarks]{hyperref}
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\usepackage{enumitem}
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\usepackage[a4paper,left=1.5cm,right=1.5cm,top=1.5cm,bottom=1.5cm]{geometry}
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\newcommand\C{\ensuremath{\mathbb{C}}}
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\newcommand\R{\ensuremath{\mathbb{R}}}
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\newcommand\Z{\ensuremath{\mathbb{Z}}}
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\usepackage{physics}
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\usepackage{multicol}
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\usepackage{nicematrix}
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\NiceMatrixOptions{nullify-dots}
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\setcounter{MaxMatrixCols}{20}
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\let\narrowtilde\tilde
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\renewcommand\tilde\widetilde
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\let\narrowhat\hat
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\renewcommand\hat\widehat
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\title{Singular Value Decomposition}
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\author{Martin Kunz}
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\begin{document}
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\maketitle
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Singular Value Decomposition je algoritmus rozkladu matice $A \in \C^{m \times n}$ na diagonální obdélníkovou matici $D \in \C^{m \times n}$ a ortogonální matice $U \in \C^{m\times m}$, $V \in \C^{n \times n}$, tak že platí
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\[
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\end{enumerate}
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\end{enumerate}
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\end{document}

‎assignment/01/protokol/target/main.pdf‎

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