noun
Uncommon
lu
loo
Lu (noun) means In linear algebra, a technique that breaks a matrix into a lower-triangular part and an upper-triangular part, used to solve systems of equations efficiently. Example: “The software used LU decomposition to solve the system of equations quickly.”
noun
1
In linear algebra, a technique that breaks a matrix into a lower-triangular part and an upper-triangular part, used to solve systems of equations efficiently.
"The software used LU decomposition to solve the system of equations quickly."
"Engineers often rely on LU factorisation when the same matrix must be solved many times."
"In the lecture, we split the matrix using LU and then solved for each unknown."
How to use lu
Learner’s notesIn plain EnglishA math shorthand for splitting a matrix into two simpler triangular matrices to make calculations faster.
When to use it
A technical term used mainly in numerical analysis and computer science.
Common pairings
LU decomposition
LU factorization
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Word forms
- Plural
- lus
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The software used _____ decomposition to solve the system of equations quickly.
Etymology
This is a romanization of Chinese 路 (lù, "route").
Synonyms
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Frequently asked questions
What does “lu” mean?
The word “lu” means in linear algebra, a technique that breaks a matrix into a lower-triangular part and an upper-triangular part, used to solve systems of equations efficiently. In plain terms, a math shorthand for splitting a matrix into two simpler triangular matrices to make calculations faster.
How do you pronounce “lu”?
“Lu” is pronounced loo (/luː/ in IPA).
How do you use “lu” in a sentence?
Here is “lu” used in a sentence: “The software used LU decomposition to solve the system of equations quickly.”
What part of speech is “lu”?
“Lu” is a noun.
Is “lu” a common word?
“Lu” is an uncommon word in modern English.
What is LU decomposition used for?
LU decomposition is a linear algebra technique that breaks a matrix into a lower-triangular part and an upper-triangular part. This split makes it much faster to solve systems of linear equations, especially when the same matrix is used repeatedly with different inputs.
What do the "L" and "U" in LU decomposition stand for?
"L" stands for the lower-triangular matrix and "U" stands for the upper-triangular matrix that together reconstruct the original matrix when multiplied. Splitting a matrix this way is the basis of the technique.
Why is LU decomposition preferred over solving equations directly?
Because it breaks a matrix into triangular parts, LU decomposition allows systems of equations to be solved efficiently, particularly when solving multiple systems that share the same coefficient matrix.
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