* {{Cite book | last1=Bau III | first1=David | last2=Trefethen | first2=Lloyd N. | author2-link=Lloyd Nicholas Trefethen | title=Numerical linear algebra | publisher=Society for Industrial and Applied Mathematics | location=Philadelphia | isbn=978-0-89871-361-9 | year=1997}}
<references />
* {{CitationCite book | last1=Bau IIICormen | first1=DavidThomas H. | author1-link=Thomas H. Cormen | last2=TrefethenLeiserson | first2=LloydCharles NE. | author2-link=LloydCharles NicholasE. TrefethenLeiserson | titlelast3=NumericalRivest linear| algebrafirst3=Ronald L. | publisherauthor3-link=SocietyRonald forL. IndustrialRivest and| Appliedlast4=Stein Mathematics| first4=Clifford | locationauthor4-link=PhiladelphiaClifford Stein | title=[[Introduction to Algorithms]] | publisher=MIT Press and McGraw-Hill | isbn=978-0-89871262-36103293-93 | year=19972001 }}
* {{citationcite book | first1=GeneRoger HA. | last1=Golub | author1-link=Gene H. GolubHorn | first2=Charles FR. | last2=Van Loan | author2-link=Charles F. Van LoanJohnson | year=19961985 | title=Matrix Computations | edition=3rdAnalysis | publisher=JohnsCambridge HopkinsUniversity | place=BaltimorePress | isbn=978-0-8018521-541438632-92 }}. See Section 3.5.
* {{citationcite book | first1=Roger A.Alston | last1=Horn | first2=Charles R. | last2=JohnsonHouseholder | year=1985 1975| title=MatrixThe AnalysisTheory |of publisher=CambridgeMatrices Universityin PressNumerical | isbn=0-521-38632-2Analysis }}. See Section 3.5.
* {{citationcite book | first1=AlstonPavel | last1=HouseholderOkunev | first2=Charles | last2=Johnson | year=19751997| title=TheNecessary TheoryAnd Sufficient Conditions For Existence of Matricesthe inLU NumericalFactorization Analysisof an Arbitrary Matrix | id={{arxiv|archive=math.NA|id=0506382}} }}.
* {{CitationCite book | last1=Press | first1=William H. | last2=Flannery | first2=Brian P. | last3=Teukolsky | first3=Saul A. | author3-link=Saul Teukolsky | last4=Vetterling | first4=William T. | title=Numerical Recipes in FORTRAN: The Art of Scientific Computing | url=http://www.mpi-hd.mpg.de/astrophysik/HEA/internal/Numerical_Recipes/f2-3.pdf | publisher=[[Cambridge University Press]] | edition=2nd | year=1992 | chapter=LU Decomposition and Its Applications | pages=34–42}}▼
* {{citation | first1=Pavel | last1=Okunev | first2=Charles | last2=Johnson | year=1997| title=Necessary And Sufficient Conditions For Existence of the LU Factorization of an Arbitrary Matrix | id={{arxiv|archive=math.NA|id=0506382}} }}.
▲* {{Citation | last1=Press | first1=William H. | last2=Flannery | first2=Brian P. | last3=Teukolsky | first3=Saul A. | author3-link=Saul Teukolsky | last4=Vetterling | first4=William T. | title=Numerical Recipes in FORTRAN: The Art of Scientific Computing | url=http://www.mpi-hd.mpg.de/astrophysik/HEA/internal/Numerical_Recipes/f2-3.pdf | publisher=[[Cambridge University Press]] | edition=2nd | year=1992 | chapter=LU Decomposition and Its Applications | pages=34–42}}
