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The proposed second-order bound is theoretically guaranteed to be tighter than existing first-order bounds.
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In Section 3.1, a new S-type eigenvalue inclusion set for tensors is given, and proved to be tighter than the existing ones derived in Lemmas 1.1-1.4 1.1-1.4
This could be tighter than expected.
It may be tighter than that.
Security at this year's parade will be tighter than before.
This bounds are proved to be tighter than those in Theorem 2.2 of [4].
This is tighter than many were expecting.
And security is tighter than ever before.
Security was tighter than usual.
We were tighter than ever".
But some connections are tighter than others.
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