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Results tagged with block-matrices
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user 32487
0
votes
Sufficient conditions for invertibility of a block tridiagonal matrix
This is a partial answer. These theorems are still too weak to cover the given test matrix.
The following theorems generalize those in Tridiagonal matrices: inversion and conditioning
to all rational …
- 397
1
vote
Sufficient conditions for invertibility of a block tridiagonal matrix
The following is a list of answers I know for some specific cases. However, they are not strong enough for my uses.
Simple conditions
A sufficient, but weak condition is that $C_i = 0$ for each $i$.
…
- 397
5
votes
2
answers
948
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Sufficient conditions for invertibility of a block tridiagonal matrix
Let $M_n \in \mathbb{R}^{N \times N}$ be a block-tridiagonal matrix:
$$M_n = \begin{bmatrix} B_1 & C_1 & 0 & 0 & \cdots & 0 \\ A_1 & B_2 & C_2 & 0 & \cdots & 0 \\ 0 & A_2 & B_3 & C_3 & \cdots & 0 \\ …
- 397