It takes the average reader 4 hours and 28 minutes to read Totally Nonnegative Matrices by Shaun M. Fallat
Assuming a reading speed of 250 words per minute. Learn more
Totally nonnegative matrices arise in a remarkable variety of mathematical applications. This book is a comprehensive and self-contained study of the essential theory of totally nonnegative matrices, defined by the nonnegativity of all subdeterminants. It explores methodological background, historical highlights of key ideas, and specialized topics. The book uses classical and ad hoc tools, but a unifying theme is the elementary bidiagonal factorization, which has emerged as the single most important tool for this particular class of matrices. Recent work has shown that bidiagonal factorizations may be viewed in a succinct combinatorial way, leading to many deep insights. Despite slow development, bidiagonal factorizations, along with determinants, now provide the dominant methodology for understanding total nonnegativity. The remainder of the book treats important topics, such as recognition of totally nonnegative or totally positive matrices, variation diminution, spectral properties, determinantal inequalities, Hadamard products, and completion problems associated with totally nonnegative or totally positive matrices. The book also contains sample applications, an up-to-date bibliography, a glossary of all symbols used, an index, and related references.
Totally Nonnegative Matrices by Shaun M. Fallat is 264 pages long, and a total of 67,056 words.
This makes it 89% the length of the average book. It also has 82% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 6 minutes to read Totally Nonnegative Matrices aloud.
Totally Nonnegative Matrices is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
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