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Table Algebras (A,B) with distinct non-real basis elements a, b∈ B satisfying [Formula: see text], (m, n∈ ℝ+) are studied in this paper. The two cases where either a is real and b is non-real or a, b are both real were completely classified by Arad and Blau. Here, we study the remaining case where a and b are non-real.
Arad, Zvi, Cohen, Efi
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A generalized doubly stochastic matrix is an \(n\times n\) matrix such that each row and column sum is equal to a given \(x\neq 0\) in a field F, where char (F)\(\nmid n\). \(J_ n\) is the \(n\times n\) matrix such that if e is the unit in F and if n is also used to denote the n-fold sum \(e+e+...+e\), then every entry in \(J_ n\) is \(n^{-1 ...
Hang–Chin Lai
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A simple linear algebraic algorithm to generate a basis of the null space of a given integral matrix is utilized to present a computer algorithm, which in general, is used to reduce the support size of a given design as in a theorem of FoodyHedayat (Theorem 4.1, 1977), and in particular, it is used to produce a basis for trades.
G.B. Khosrovshahi, E.S. Mahmoodian
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yao +3 more
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A linear-algebraic form of the equations of the method of characteristics, which is used to approximate the neutron transport equation, is obtained. It is shown on the basis of the obtained linear-algebraic form that the discrete form of the conjugate equation differs from the algebraically discrete problem constructed by linear-algebraic ...
I. R. Suslov, I. V. Tormyshev
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A basis for linear algebra, by Warren Brisley. Pp viii, 189. £5. 1973. SBN 0 471 10460 4 (Wiley)
John Bibby
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Fundamentals of Numerical Mathematics for Physicists and Engineers, 2020
Given some m×m matrix A, suppose we reduce A to Hessenberg form H by an orthogonal matrix Q. Then, AQ = QH. Let Qn be the matrix composed of the first n columns of Q.
W. Layton, Myron Sussman
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Given some m×m matrix A, suppose we reduce A to Hessenberg form H by an orthogonal matrix Q. Then, AQ = QH. Let Qn be the matrix composed of the first n columns of Q.
W. Layton, Myron Sussman
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Basis change, projection, and relative linear algebra tricks in signal and image processing
Adam Dąbrowski
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