scholarly journals Non-Toeplitz decay bounds for inverses of Hermitian positive definite tridiagonal matrices

2018 ◽  
Vol 48 ◽  
pp. 362-372 ◽  
Author(s):  
Andreas Frommer ◽  
Claudia Schimmel ◽  
Marcel Schweitzer
Keyword(s):  
Positive Definite ◽  
Tridiagonal Matrices ◽  
Decay Bounds

Sufficient Conditions Analysis of Coverage Algorithm Constructed Positive Definite Tridiagonal Matrices in WSNs

2021 ◽  
Vol 22 (4) ◽  
pp. 735-741
Author(s):  
Wei Wei Wei Wei ◽  
Qiao Ke Wei Wei ◽  
Fan Gao Qiao Ke ◽  
Rafał Scherer Fan Gao ◽  
Shujia Fan Rafał Scherer
Keyword(s):  
Sufficient Conditions ◽  
Positive Definite ◽  
Tridiagonal Matrices

scholarly journals An application of the homotopy method to the generalised symmetric eigenvalue problem

1988 ◽  
Vol 30 (2) ◽  
pp. 230-249
Author(s):  
Wen-Wei Lin ◽  
Gerhard Lutzer
Keyword(s):  
Eigenvalue Problem ◽  
Positive Definite ◽  
Homotopy Method ◽  
Smooth Curves ◽  
Symmetric Eigenvalue Problem ◽  
Tridiagonal Matrices ◽  
Almost All ◽  
Curve Tracing

AbstractThe homotopy method is used to find all eigenpairs of a generalised symmetric eigenvalue problem Ax = λBx with positive definite B. The determination of n eigenpairs (x, λ) is reduced to curve tracing of n disjoint smooth curves in Rn × R × [0, 1]. The method might be attractive if A and B are sparse symmetric. In this paper it is shown that the method will work for almost all symmetric tridiagonal matrices A and B.

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