Solving the Darwin problem in the first post-Newtonian approximation of general relativity [PDF]
, 1997 We analytically calculate the equilibrium sequence of the corotating binary stars of incompressible fluid in the first post-Newtonian(PN) approximation of general relativity.
A. Abramovici +26 more
core +3 more sources
On the q-Lie group of q-Appell polynomial matrices and related factorizations
Special Matrices, 2018 In the spirit of our earlier paper [10] and Zhang and Wang [16],we introduce the matrix of multiplicative q-Appell polynomials of order M ∈ ℤ. This is the representation of the respective q-Appell polynomials in ke-ke basis.
Ernst Thomas
doaj +1 more source
Maximizing the determinant for a special class of block‐partitioned matrices
Mathematical Problems in Engineering, Volume 2004, Issue 1, Page 49-61, 2004., 2004 An analytical solution is found for the maximum determinant of a block‐partitioned class of matrices with constant trace for each block. As an immediate application of this result, the maximum determinant of a sum of Kronecker products is derived.
Otilia Popescu +2 more
wiley +1 more source
Symplectic analogs of polar decomposition and their applications to bosonic Gaussian channels
, 2020 We obtain several analogs of real polar decomposition for even dimensional matrices. In particular, we decompose a non-degenerate matrix as a product of a Hamiltonian and an anti-symplectic matrix and under additional requirements we decompose a matrix ...
Teretenkov, A. E.
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Algorithm of J‐factorization of rational matrices with zeros and poles on the imaginary axis
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2873-2885, 2003., 2003 The problem of J‐factorization of rational matrices, which have zeros and poles on the imaginary axis, is reduced to construction of the solutions of two algebraic Riccati equations. For construction of these solutions, it is offered to use appropriate algorithms.
Vladimir B. Larin
wiley +1 more source
Spectral transformations of measures supported on the unit circle and the Szegö transformation [PDF]
, 2008 17 pages, no figures.-- MSC2000 codes: 42C05, 15A23.MR#: MR2457097 (2009k:42046)Zbl#: Zbl 1169.42009In this paper we analyze spectral transformations of measures supported on the unit circle with real moments. The connection with spectral transformations
Garza, Luis +2 more
core +3 more sources
The semigroup generated by the similarity class of a singular matrix
, 2011 Let A be a singular matrix of M_n(K), where K is an arbitrary field. Using canonical forms, we give a new proof that the sub-semigroup of (M_n(K),x) generated by the similarity class of A is the set of matrices of M_n(K) with a rank lesser than or equal ...
Pazzis, Clément de Seguins
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On an argument of J.--F. Cardoso dealing with perturbations of joint diagonalizers
, 2012 B. Afsari has recently proposed a new approach to the matrix joint diagonalization, introduced by J.--F. Cardoso in 1994, in order to investigate the independent component analysis and the blind signal processing in a wider prospective.
Russo, Francesco G.
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Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials.
Anghel Nicolae
doaj +1 more source
Signal Flow Graph Approach to Efficient DST I-IV Algorithms [PDF]
, 2016 In this paper, fast and efficient discrete sine transformation (DST) algorithms are presented based on the factorization of sparse, scaled orthogonal, rotation, rotation-reflection, and butterfly matrices.
Perera, Sirani M.
core +2 more sources