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Triangular matrix
Known as:
Strictly lower triangular matrix
, Upper-triangular
, Strictly upper triangular matrix
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In the mathematical discipline of linear algebra, a triangular matrix is a special kind of square matrix. A square matrix is called lower triangular…
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Related topics
Related topics
37 relations
Algorithm
Block reflector
Characteristic polynomial
Cholesky decomposition
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Broader (1)
Numerical linear algebra
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2007
Highly Cited
2007
Singularity Categories, Schur Functors and Triangular Matrix Rings
X. Chen
2007
Corpus ID: 17708682
We study certain Schur functors which preserve singularity categories of rings and we apply them to study the singularity…
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Highly Cited
2004
Highly Cited
2004
Cochannel Interference Mitigation and Cooperative Processing in Downlink Multicell Multiuser MIMO Networks
H. Zhang
,
H. Dai
EURASIP J. Wirel. Commun. Netw.
2004
Corpus ID: 1890917
Recently, the remarkable capacity potential of multiple-input multiple-output (MIMO) wireless communication systems was unveiled…
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Highly Cited
2004
Highly Cited
2004
Deformation transfer for triangle meshes
R. W. Sumner
,
J. Popovic
SIGGRAPH
2004
Corpus ID: 40659497
Deformation transfer applies the deformation exhibited by a source triangle mesh onto a different target triangle mesh. Our…
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Highly Cited
2004
Highly Cited
2004
Deformation transfer for triangle meshes
R. W. Sumner
,
J. Popovic
ACM Trans. Graph.
2004
Corpus ID: 10701255
Deformation transfer applies the deformation exhibited by a source triangle mesh onto a different target triangle mesh. Our…
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Highly Cited
1998
Highly Cited
1998
Weighted Essentially Non-oscillatory Schemes on Triangular Meshes
C. Hu
,
C. Shu
1998
Corpus ID: 16964841
In this paper we construct high-order weighted essentially non-oscillatory schemes on two-dimensional unstructured meshes…
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Highly Cited
1990
Highly Cited
1990
Computing the block triangular form of a sparse matrix
A. Pothen
,
C. Fan
TOMS
1990
Corpus ID: 207643706
We consider the problem of permuting the rows and columns of a rectangular or square, unsymmetric sparse matrix to compute its…
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Highly Cited
1982
Highly Cited
1982
Matrix Triangularization By Systolic Arrays
W. Gentleman
,
H. T. Kung
Optics & Photonics
1982
Corpus ID: 63527864
Given an n x p matrix X with p < n, matrix triangularization, or triangularization in short, is to determine an n x n nonsingular…
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Highly Cited
1972
Highly Cited
1972
Solution of the matrix equation AX + XB = C [F4]
R. Bartels
,
G. Stewart
CACM
1972
Corpus ID: 12957010
and Canada) or $18.00 (elsewhere). If the user sends a small tape (wt. less than 1 lb.) the algorithm will be copied on it and…
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Highly Cited
1971
Highly Cited
1971
The Sparse Tableau Approach to Network Analysis and Design
G. Hachtel
,
R. Brayton
,
F. Gustavson
1971
Corpus ID: 6356757
The tableau approach to automated network design optimization via implicit, variable order, variable time-step integration, and…
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Highly Cited
1958
Highly Cited
1958
Unitary Triangularization of a Nonsymmetric Matrix
A. Householder
JACM
1958
Corpus ID: 9858625
A method for the inversion of a nonsymmetric matrix has been in use at ORNL and has proved to be highly stable numerically but to…
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