Lower Triangular Matrix
Chapter 5: Square Matrix and LU Decomposition — Triangular Matrices & Transpose
From the book
Chapter 5: Square Matrix and LU Decomposition. In the chapter mind map this icon labels Triangular Matrices & Transpose. The discussion below is excerpted and lightly edited from § Triangular Matrices in Mathematics for AI and Machine Learning.
In the matrix chapter, we introduced the generalized upper triangular matrix to handle rectangular and rank-deficient matrices in QR decomposition. Here we focus on the standard case: square upper and lower triangular matrices, which have simpler structure and appear frequently in matrix decompositions and linear system solving.
What this drawing shows
What you see. Matrix with nonzero entries on and below the main diagonal, used in forward substitution and LU factors.
In the mind map. Chapter 5 — Triangular Matrices & Transpose. See From the book above for definitions, figures, and worked examples.
Where to read next
Read the full definitions, figures, and worked examples in Chapter 5: Square Matrix and LU Decomposition — see the mind-map node Triangular Matrices & Transpose.
