scholarly journals Wiener-Hopf operators admit triangular factorization

2019 ◽  
Vol 82 (1) ◽  
pp. 237-249 ◽  
Author(s):  
R.V. Bessonov
Keyword(s):  
Triangular Factorization

The New qd Algorithms

Acta Numerica ◽  
1995 ◽  
Vol 4 ◽  
pp. 459-491 ◽  
Author(s):  
Beresford N. Parlett
Keyword(s):  
Singular Values ◽  
Eigenvalues And Eigenvectors ◽  
Triangular Factorization ◽  
Matrix Computation ◽  
Important Special Case ◽  
Singular Vectors ◽  
Tridiagonal Matrices ◽  
Recent Origin ◽  
Special Case

Let us think about ways to find both eigenvalues and eigenvectors of tridiagonal matrices. An important special case is the computation of singular values and singular vectors of bidiagonal matrices. The discussion is addressed both to specialists in matrix computation and to other scientists whose main interests lie elsewhere. The reason for hoping to communicate with two such diverse sets of readers at the same time is that the content of the survey, though of recent origin, is quite elementary and does not demand familiarity with much beyond triangular factorization and the Gram-Schmidt process for orthogonalizing a set of vectors. For some readers the survey will cover familiar territory but from a novel perspective. The justification for presenting these ideas is that they lead to new variations of current methods that run a lot faster while achieving greater accuracy.

Triangular Factorization-Based Simplex Algorithms for Hyperspectral Unmixing

2012 ◽  
Vol 50 (11) ◽  
pp. 4420-4440 ◽  
Author(s):  
Wei Xia ◽  
Hanye Pu ◽  
Bin Wang ◽  
Liming Zhang
Keyword(s):  
Triangular Factorization ◽  
Hyperspectral Unmixing
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