From Gauß to Weierstraß: Determinant Theory and Its Historical Evaluations

1994 ◽  
pp. 51-66 ◽  
Author(s):  
Eberhard Knobloch
Keyword(s):  
Determinant Theory

Determinant theory for D01-lattice matrices

1994 ◽  
Vol 62 (3) ◽  
pp. 347-353 ◽  
Author(s):  
Zhang Kun-Lun
Keyword(s):  
Determinant Theory

Padé approximation and orthogonal polynomials

1974 ◽  
Vol 10 (2) ◽  
pp. 263-270 ◽  
Author(s):  
G.D. Allen ◽  
C.K. Chui ◽  
W.R. Madych ◽  
F.J. Narcowich ◽  
P.W. Smith
Keyword(s):  
Power Series ◽  
Variational Method ◽  
Orthogonal Polynomials ◽  
Gaussian Quadrature ◽  
Quadrature Formulas ◽  
The Past ◽  
Gaussian Quadrature Formulas ◽  
Poles And Zeros ◽  
Formal Power ◽  
Determinant Theory

By using a variational method, we study the structure of the Padé table for a formal power series. For series of Stieltjes, this method is employed to study the relations of the Padé approximants with orthogonal polynomials and gaussian quadrature formulas. Hence, we can study convergence, precise locations of poles and zeros, monotonicity, and so on, of these approximants. Our methods have nothing to do with determinant theory and the theory of continued fractions which were used extensively in the past.

The Oxford Handbook of Leibniz

2013 ◽  
Keyword(s):  
Political Philosophy ◽  
Social Reform ◽  
Symmetric Functions ◽  
Religious Toleration ◽  
Original Essays ◽  
Technical Innovations ◽  
Probability And Statistics ◽  
The Many ◽  
Determinant Theory ◽  
Analysis Situs

The extraordinary breadth and depth of Leibniz’s intellectual vision commands ever increasing attention. As more texts gradually emerge from seemingly bottomless archives, new facets of his contribution to an astonishing variety of fields come to light. This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz’s thought thematically organized around its diverse but interrelated aspects. Discussion of his philosophical system naturally takes place of pride. A cluster of original essays revisit his logic, metaphysics, epistemology, philosophy of nature, moral and political philosophy, and philosophy of religion. The scope of the volume, however, goes beyond that of a philosophical collection to embrace all the main features of Leibniz’s thought and activity. Contributions are offered on Leibniz as a mathematician (including not only his calculus but also determinant theory, symmetric functions, the dyadic, the analysis situs, probability and statistics); on Leibniz as a scientist (physics and also optics, cosmology, geology, physiology, medicine, and chemistry); on his technical innovations (the calculating machine and the technology of mining, as well as other discoveries); on his work as an ‘intelligencer’ and cultural networker, as jurist, historian, editor of sources and librarian; on his views on Europe’s political future, religious toleration, and ecclesiastical reunification; on his proposals for political, administrative, economic, and social reform. In so doing, the volume serves as a unique cross-disciplinary point of contact for the many domains to which Leibniz contributed. By assembling leading specialists on all these topics, it offers the most rounded picture of Leibniz’s endeavors currently available.

Determinant Theory in Finite Factors

1952 ◽  
Vol 55 (3) ◽  
pp. 520 ◽  
Author(s):  
Bent Fuglede ◽  
Richard V. Kadison
Keyword(s):  
Determinant Theory
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