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Let (A=(a_{n,k})) be a matrix such that (15) holds.
(3 Let be a matrix such that the matrix is invertible (we can choose, e.g).. From the relation.
Analogously to the matrix U in Section 2, let U ( x ″, t ) be a matrix such that U ( x ″, t ) A ′ ( x ″, t ) U T ( x ″, t ) = I m, where A ′ ( x ″, t ) is the matrix with the elements a i j ( 0, x ″, t ), i, j = 1, …, m.
Lemma 7 Let M be a matrix such that δ1 ≥... ≥ δ m.
Let B be a matrix such that the rows of B T are a basis of the left null spacec of YA, i. e. (Y A) T B=0.
Similar(55)
Let be an matrix such that for some matrix norm.
where is the last -tuple of and is a matrix such that is a systematical matrix.
Lemma 1. Suppose that A is a matrix such that ∥A∥<1.
where is the th row removed version of,,,, and is a matrix such that.
Recall that a doubly strictly diagonally dominant [8] is a matrix such that for all, one has.
where F is a matrix such that (f_{ii}=sum _{j}w_{ij}) and the non-diagonal entries are zeros.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com