Results 251 to 260 of about 5,113,236 (295)

Extrapolated positive definite and positive semi-definite splitting methods for solving non-Hermitian positive definite linear systems

Applications of Mathematics, 2021
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Shokrpour, Raheleh, Ebadi, Ghodrat
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Positive Definiteness of a Class of Cyclic Symmetric Tensors [PDF]

Journal of Optimization Theory and Applications
For a 4th order 3-dimensional cyclic symmetric tensor, a sufficient and necessary condition is bulit for its positive semi-definiteness. A sufficient and necessary condition of positive definiteness is showed for a 4th order $n$-dimensional symmetric ...
Yisheng Song
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On Different Definitions of Positive Definiteness

Mathematische Nachrichten, 1991
Let the function \(T^*\) be defined by \(T^*(a)=T(a^{-1})^*\) for a function \(T\) of a group \(G\) into a Hilbert space. The authors show that the commutativity of \(G\) is equivalent to each of the conditions below: (1) \(T^*\) is positive definite for every representation \(T\) of \(G\) in Hilbert space.
Friedrich, J., Klotz, L.
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On the Measurability of Positive Definite and Conditionally Positive Definite Functions

Mathematische Nachrichten, 1986
Let f be a positive definite function on a locally compact abelian group G. In this paper we show that measurability of f on an open neighbourhood of the zero implies measurability of f on G. The same result holds for conditionally positive definite functions.
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Positive Definiteness and Stability of Interval Matrices

SIAM Journal on Matrix Analysis and Applications, 1994
Interval matrices are considered that are positive definite, positive semidefinite, Hurwitz stable or Schur stable. Necessary and sufficient conditions for each of these properties are investigated. The conditions are based on corresponding properties of a finite number of real test matrices that are derived from the interval matrix under consideration.
Jiří Rohn
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Positive Powers of Positive Positive Definite Matrices

Canadian Journal of Mathematics, 1996
AbstractLet C be an n x n positive definite matrix. If C ≥ 0 in the sense that Cij ≥ 0 and if p > n — 2, then Cp ≥ 0. This implies the following "positive minorant property" for the norms ‖A‖p = [tr(A*A)p/2]1/P. Let 2 < p ≠ 4, 6, … . Then 0 ≤ A ≤ B => ‖A‖p ≥ ‖B‖P if and only if n < p/2 + 1.
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Positive Definite Toeplitz Completions

Journal of the London Mathematical Society, 1999
Consider a partially prescribed Toeplitz matrix \(T\), that is, a Toeplitz matrix in which some diagonals are specified, while other are unspecified and may thus be treated as free variables. A completion of \(T\) is an assignment of values to the unspecified diagonals. The pattern \(P(T)\) of a partially defined Hermitian Toeplitz matrix is the set of
Johnson, Charles R., Lundquist, Michael, Nævdal, Geir   +2 more
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Addendum to the Paper „On the Measurability of Positive Definite and Conditionally Positive Definite Functions”︁

Mathematische Nachrichten, 1987
The aim of this note is to simplify the proof of Theorem 1 [(*)\ ibid. 125, 239-242 (1986; Zbl 0605.43004)] and to extend the results of (*) to arbitrary locally compact groups.
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Positive Definite Rational Kernels

2003
Kernel methods are widely used in statistical learning techniques. We recently introduced a general kernel framework based on weighted transducers or rational relations, rational kernels, to extend kernel methods to the analysis of variable-length sequences or more generally weighted automata.
Corinna Cortes, Patrick Haffner, Mehryar Mohri   +2 more
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Sibling Position and Definition of Self

The Journal of Social Psychology, 1971
(1971). Sibling Position and Definition of Self. The Journal of Social Psychology: Vol. 84, No. 2, pp. 307-308.
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