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Although this concept is not complex, a lack of examples makes it more difficult to initially understand. Since there are no examples of diagonally dominant matrices on the page, I propose adding a section with at least one example. Most likely more than one example would be necessary, one for a
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A Hermitian diagonally dominant matrix with real non-negative diagonal entries is positive semi-definite. If the symmetry requirement is eliminated, such a matrix is not necessarily positive semi-definite; however, the real parts of its eigenvalues are
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Putting a space between "i" and "th" may improve readability in many browsers, but it isn't correct; "i" and "th" aren't separate words. You might put a hyphen, but I don't think that's terribly common. As an example, Strang's "Linear
Algebra" uses
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are usually called simply "diagonally dominant", and not "weakly diagonally dominant". It might be useful to include this in the article, since it can easily cause misinterpretations.
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strictly diagonally dominant matrix and one for a diagonally dominant matrix that is not strictly diagonally dominant.
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Another alternative that might not be terribly in common (I don't know) would be to put the th as a superscript as in i
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In case the term "strictly diagonally dominant" is used, then the matrices for which the conditions is satisfied for
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As an alternative for readability in browsers, the sentence could be reworded to use the phrase "row
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on
Knowledge. If you would like to participate, please visit the project page, where you can join
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Correct. I added a sentence to the article, but please feel free to improve on it. --
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I would like to see a reference to a proof for this:
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