Quasi-Toeplitz matrix arithmetic: a MATLAB toolbox
Sign Up to like & getrecommendations! Published in 2018 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0571-6
Abstract: A quasi-Toeplitz (QT) matrix is a semi-infinite matrix of the kind A=T(a)+E$A=T(a)+E$ where T(a)=(aj−i)i,j∈ℤ+$T(a)=(a_{j-i})_{i,j\in \mathbb Z^{+}}$, E=(ei,j)i,j∈ℤ+$E=(e_{i,j})_{i,j\in \mathbb Z^{+}}$ is compact and the norms∥a∥W=∑i∈ℤ|ai|$\|a\|_{_{\mathcal {W}}}={\sum }_{i\in \mathbb Z}|a_{i}|$ and ∥E∥2$\|E\|_{2}$ are finite. These properties allow… read more here.
Keywords: toolbox; toeplitz; toeplitz matrix; matrix ... See more keywords
Use of Block Toeplitz Matrix in the Study of Möbius Pairs of Simplexes in Higher-Dimensional Projective Space
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DOI: 10.1007/s40598-020-00142-y
Abstract: A simplex in a projective space of dimension n is expressed by a matrix of order n + 1, where each row represents the homogeneous coordinates of a vertex of the simplex with respect to a… read more here.
Keywords: block toeplitz; space; toeplitz matrix; projective space ... See more keywords
Subquadratic Space Complexity Multiplier Using Even Type GNB Based on Efficient Toeplitz Matrix-Vector Product
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DOI: 10.1109/tc.2018.2836425
Abstract: Multiplication schemes based on Toeplitz matrix-vector product (TMVP) have been proposed by many researchers. TMVP can be computed using the recursive two-way and three-way split methods, which are composed of four blocks. Among them, we… read more here.
Keywords: toeplitz matrix; space complexity; gnb; complexity ... See more keywords
Low-Complexity Digit-Serial Multiplier Over $GF(2^{m})$ Based on Efficient Toeplitz Block Toeplitz Matrix–Vector Product Decomposition
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DOI: 10.1109/tvlsi.2016.2605183
Abstract: In this paper, we have shown that a regular Toeplitz matrix-vector product (TMVP) can be transformed into a Toeplitz block TMVP (TBTMVP) using a suitable permutation matrix. Based on the TBTMVP representation, we have proposed… read more here.
Keywords: toeplitz; digit serial; block; toeplitz matrix ... See more keywords
INVERSES AND EIGENPAIRS OF TRIDIAGONAL TOEPLITZ MATRIX WITH OPPOSITE-BORDERED ROWS
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DOI: 10.11948/20190287
Abstract: In this paper, tridiagonal Toeplitz matrix (type I, type II) with opposite-bordered rows are introduced. Main attention is paid to calculate the determinants, the inverses and the eigenpairs of these matrices. Specifically, the determinants of… read more here.
Keywords: toeplitz matrix; tridiagonal toeplitz; bordered rows; opposite bordered ... See more keywords