نتایج جستجو برای: positive definite systems

تعداد نتایج: 1819978  

Journal: :Illinois Journal of Mathematics 1984

Journal: :Journal of Mathematical Physics 2022

We investigate Dirac's bra-ket formalism based on a rigged Hilbert space for non-Hermite quantum system with positive-definite metric. First, the space, characterized by metric, is established. With aid of nuclear spectral theorem obtained expansions are shown bra-kets generalized eigenvectors quasi-Hermite operator. The utilized to endow complete bi-orthogonal and transformation theory between...

Journal: :Proceedings of the American Mathematical Society 1973

Journal: :Journal d'Analyse Mathématique 2004

Journal: :Duke Mathematical Journal 2000

Journal: :The Annals of Mathematical Statistics 1966

Journal: :J. Computational Applied Mathematics 2013
Haim Avron Anshul Gupta Sivan Toledo

Incomplete LDL factorizations sometimes produce an indefinite preconditioner evenwhen the input matrix is Hermitian positive definite. The two most popular iterative solvers for symmetric systems, CG and MINRES, cannot use such preconditioners; they require a positive definite preconditioner. One approach, that has been extensively studied to address this problem is to force positive definitene...

1988
GREGORY S. AMMAR WILLIAM B. GRAGG

Abstract. We describe an implementation of the generalized Schur algorithm for the superfast solution of real positive definite Toeplitz systems of order n + 1, where n = 2ν . Our implementation uses the split-radix fast Fourier transform algorithms for real data of Duhamel. We are able to obtain the nth Szegő polynomial using fewer than 8n log 2 n real arithmetic operations without explicit us...

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