Sentence examples for analytic matrix from inspiring English sources

For rational and analytic matrix functions new formulas are obtained for the limits in the Szegö-Kac-Achiezer limit theorems.

Such factorizations were introduced by V. V. Peller and N. J. Young (1994, J. Funct. Anal.120, 300 343) for studying superoptimal approximation by bounded analytic matrix functions.

A fundamental result in the theory of Hardy spaces of analytic matrix and operator valued functions on the unit disk is inner-outer factorization.

We describe Wiener Hopf factorization indices of U in terms of superoptimal singular values of Φ and thematic indices of Φ−F, where F is a superoptimal approximation of Φ by bounded analytic matrix functions.

We then analyzed the data through coding summaries and developed analytic matrices from coded transcripts.

The interview transcripts were coded with NVivo software, and data was displayed in analytic matrices.

We then reviewed code outputs and developed code summaries and analytic matrices [ 34, 35].

We then regrouped the codes into wide themes and displayed them in analytic matrices [ 19].

Furthermore, the researchers carefully pondered the analytic matrices while comparing their interpretation of the results.

We then developed analytic matrices based on the outputs of the coding to summarize findings for each key theme and compare between different categories of participants [ 49].

We then examined the codes and their corresponding passages through an iterative process, grouping them into broad themes and displaying them in analytic matrices, as recommended by Miles [ 23].