Results 51 to 60 of about 480 (210)
A determinant formula for Toeplitz operators associated to a minimal flow [PDF]
We define a determinant on the Toeplitz algebra associated to a minimal flow, give a formula for this determinant in terms of symbols, and show that this determinant can be used to give information about the algebraic K-theory of functions on the ...
Park, E. (Efton)
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ON THE INVERSE OF PATTERN MATRICES WITH APPLICATION TO STATISICAL MODELS
Tikrit Journal of Pure Science, 2018 In this study the inverse of two patterned matrices has been investigated. First, for a Toeplitz-type matrix, it is proved that the exact number of independent cofactors is (n +2)/4 when n is even number and when n is an odd. Second, when the matrix is
Hiba Hani Abdullah
doaj +1 more source
High Voltage, EarlyView.ABSTRACT As one of the important links in energy transition and global energy interconnection, electric vehicles (EVs) are becoming increasingly major research topics in the field of energy. Partial discharge (PD) identification under repetitive impulsive voltages plays a pivotal role in evaluating the health of electric vehicle (EV) motor insulation ...
Li Wang +7 more
wiley +1 more source
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1572-1588, October 2026.ABSTRACT Purpose To develop a software‐based active electromagnetic interference (EMI) suppression (AES) framework on whole‐body multi‐channel MRI systems for reliable MRI and MR thermometry during MRI‐guided microwave ablation (MWA). Methods In addition to primary imaging coils, an unloaded standard body array coil was positioned outside the imaging ...
Qing Dai +5 more
wiley +1 more source
The determination of companion matrices characterizing toeplitz and r-Toeplitz matrices
Linear Algebra and its Applications, 1989 The purpose is to show that a companion Toeplitz (T) matrix and its r- Toeplitz (S) matrix counterpart can be replaced by much simpler results if one considers the inverses of T and S.
openaire +1 more source
The Gaussian Toeplitz matrix [PDF]
, 1992 An analytical expression for the LLT decomposition for the Gaussian Toeplitz matrix with elements Tij=[1/(2⧸π)1 ⧸2;σ]exp[-(i-j)2⧸2σ2] is derived. An exact expression for the determinant and bounds on the eigenvalues follows. An analytical expressions for
Pasupathy, J. +5 more
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GENERALIZED PASCAL TRIANGLES AND TOEPLITZ MATRICES [PDF]
, 2009 The purpose of this article is to study determinants of matrices which are known as generalized Pascal triangles (see R. Bacher. Determinants of matrices related to the Pascal triangle. J. Théor. Nombres Bordeaux, 14:19–41, 2002).
S. M. H. Pooya +5 more
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Determinant of binary circulant matrices
Special Matrices, 2019 This article gives a closed-form expression for the determinant of binary circulant matrices.
Hariprasad M.
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Mathematics, 2019 Foeplitz and Loeplitz matrices are Toeplitz matrices with entries being Fibonacci and Lucas numbers, respectively. In this paper, explicit expressions of determinants and inverse matrices of Foeplitz and Loeplitz matrices are studied.
Zhaolin Jiang +4 more
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, Volume 88, Issue 4, Page 587-602, August 2026.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source