Some improvements for two-sided bounds on the inverse of diagonally dominant tridiagonal matrices

R. Peluso, Tiziano Politi

Type: Article

Publication Date: 2001-06-01

Citations: 29

DOI: https://doi.org/10.1016/s0024-3795(01)00254-3

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Linear Algebra and its Applications - View

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Action	Title	Year	Authors
+	Persistently positive inverses of perturbed M-matrices	2007	Ronald D. Haynes Manfred R. Trummer Shannon C. Kennedy
+	Finite Matrices and Their Nonsingularity	2016	P. N. Shivakumar K. C. ‎Sivakumar Yang Zhang
+	Estimates for the inverse elements of tridiagonal matrices	2005	Xiaoqin Liu Ting‐Zhu Huang Ying-Ding Fu
+	On the inverses of general tridiagonal matrices	2010	Hou‐Biao Li Ting‐Zhu Huang Xingping Liu Hong Li
+	Improved bounds for the inverses of diagonally dominant tridiagonal matrices	2018	Ezequiel Dratman Guillermo Matera
+	Monotone convex sequences and Cholesky decomposition of symmetric Toeplitz matrices	2005	Kenneth S. Berenhaut Dipankar Bandyopadhyay
+	Block diagonal dominance of matrices revisited: Bounds for the norms of inverses and eigenvalue inclusion sets	2018	Carlos Echeverría Jörg Liesen Reinhard Nabben
+	Inverse positivity of perturbed tridiagonal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>M</mml:mi></mml:mrow></mml:math>-matrices	2009	Shannon C. Kennedy Ronald D. Haynes
+	The inverse positivity of perturbed tridiagonal M-matrices	2010	Jie Huang Ting‐Zhu Huang
+ PDF Chat	Inverse properties of a class of seven-diagonal (near) Toeplitz matrices	2021	Bakytzhan Kurmanbek Yogi A. Erlangga Yerlan Amanbek

Works Cited by This (3)

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+	Estimates for the inverse of tridiagonal matrices arising in boundary-value problems	1986	R.M.M. Mattheij Mitchell D. Smooke
+	Upper and lower bounds for inverse elements of finite and infinite tridiagonal matrices	1996	P. N. Shivakumar Chuanxiang Ji
+	Decay Rates of the Inverse of Nonsymmetric Tridiagonal and Band Matrices	1999	Reinhard Nabben