86 research outputs found
Topical Bias in Generalist Mathematics Journals
Generalist mathematics journals exhibit bias toward the branches of
mathematics by publishing articles about some subjects in quantities far
disproportionate to the production of papers in those areas within all of
mathematics.Comment: 8 pages, 3 figure
Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals
A simple formula is proved to be a tight estimate for the condition number of
the full rank linear least squares residual with respect to the matrix of least
squares coefficients and scaled 2-norms. The tight estimate reveals that the
condition number depends on three quantities, two of which can cause
ill-conditioning. The numerical linear algebra literature presents several
estimates of various instances of these condition numbers. All the prior values
exceed the formula introduced here, sometimes by large factors.Comment: 15 pages, 1 figure, 2 table
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