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Verification of Positive Definiteness
BIT Numerical Mathematics, 2006An efficient numerical criterion to verify positive definiteness of a symmetric or Hermitian matrix is presented. The criterion is based on standard IEEE 754 floating-point arithmetic with rounding to nearest. It implements a single floating-point Cholesky decomposition and improves a known result.
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On the Measurability of Positive Definite and Conditionally Positive Definite Functions
Mathematische Nachrichten, 1986Let 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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The American Mathematical Monthly, 1970
(1970). Positive Definite Matrices. The American Mathematical Monthly: Vol. 77, No. 3, pp. 259-264.
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(1970). Positive Definite Matrices. The American Mathematical Monthly: Vol. 77, No. 3, pp. 259-264.
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Complex Variable Positive Definite Functions
Complex Analysis and Operator Theory, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buescu, Jorge, Paixão, António
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Positive Definite $C^p $ Kernels
SIAM Journal on Mathematical Analysis, 1986Let K(x,t) be a positive definite Hermitian \(C^ p\) kernel on \(| x| \leq 1\), \(| t| \leq 1\); and \(e_ 1\geq e_ 2\geq...\geq e_ n\geq..\). the associated eigenvalues. \textit{Chungwei Ha} [ibid.
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Evolving standards of care and new challenges in the management of HER2‐positive breast cancer
Ca-A Cancer Journal for Clinicians, 2020Grace M Choong +2 more
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On Positive-Definite Functions
Proceedings of the London Mathematical Society, 1956openaire +1 more source