Inequalities for the Minimum Eigenvalue of Doubly Strictly Diagonally DominantM-Matrices
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LetAbe a doubly strictly diagonally dominantM-matrix. Inequalities on upper and lower bounds for the entries of the inverse ofAare given. And some new inequalities on the lower bound for the minimal eigenvalue ofAand the corresponding eigenvector are presented to establish an upper bound for theL1-norm of the solutionx(t)for the linear differential systemdx/dt=-Ax(t),x(0)=x0>0.
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2017 ◽
Vol 7
(2)
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pp. 169-181
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2010 ◽
Vol 02
(03)
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pp. 363-377
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2011 ◽
Vol 12
(01n02)
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pp. 1-17
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1968 ◽
Vol 303
(1475)
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pp. 503-509
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1999 ◽
Vol 122
(1)
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pp. 39-43
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1972 ◽
Vol 328
(1573)
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pp. 295-299
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