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Everything about Triangular matrix
Special kind of square matrix
In mathematics, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular if all the entries above the main diagonal are zero. Similarly, a square matrix is called upper triangular if all the entries below the main diagonal are zero. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Triangular matrixA 5-minute orientation
- Skim a recent paper: Images of multilinear graded polynomials on upper triangular matrix algebrasInfluential work since 2022
- Pick up a classic book: Simultaneous triangularizationThe most-reprinted book on the subject
- Read the landmark paper: Triangular Matrix RepresentationsCited 94 times
- Go sideways: Nilpotent matrixA closely related topic
- Go sideways: UnipotentA closely related topic
📖 Definitions
Noun A square matrix in which all the items on one side of the main diagonal are zero.
🏆 Landmark papers (most cited)
Triangular Matrix Representations
Triangular matrix representations of ring extensions
Study of formal triangular matrix rings
On Strongly Clean Matrix and Triangular Matrix Rings
Gorenstein conditions over triangular matrix rings
Involutions for upper triangular matrix algebras
Derivations of upper triangular matrix rings
Automorphisms of upper triangular matrix rings
🆕 Influential since 2022
📚 Books worth reading
Simultaneous triangularizationHeydar Radjavi · 2000- 📕Gradings on the algebra of upper triangular matrices and their graded identitiesPlamen Koshlukov, Angela Valenti · 2002
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
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