1 2 • • • Chapter 1 / Systems of Linear Equations and Matrices 1.1 INTRODUCTION TO SYSTEMS OF LINEAR EQUATIONS Systems of linear algebraic equations and their solutions constitute one of the major topics studied in the course known as "linear algebra." In this first section we shall ...
J. Combin. Theory B 18, 138–154 (1975) V. Chvátal, W. Cook, M. Hartmann, On cutting-plane proofs in combinatorial optimization. Linear Algebra Appl. 114/115, 455–499 (1989) M. Conforti, G. Cornuéjols, A. Daniilidis, C. Lemaréchal, J. Malick, Cut-generating functions and...
Section 2, we will collect a few basic facts regarding Linear Algebra on a finite ring. Section 3 develops the theory of the GF-trace as far as needed. Section 4 covers linear codes over finite rings, and Section 5 considers cyclic codes in particular. Section 6 concludes the article, ...
Radjabalipour, "Linear preserver of matrix majorization," International Journal of Pure and Applied Mathematics, vol. 32, no. 4, pp. 475–482, 2006. [9] A. M. Hasani and M. Radjabalipour, "On linear preservers of (right) matrix majorization," Lin- ear Algebra and Its Applications, ...
This last property also shows that there are two time directions coming into play from the outset, since Fs+ may be interpreted as the σ-algebra gathering all available information before time s and Ft− as that collecting all available information after time t. It is therefore no surprise...
A Coq formalization of information theory and linear error-correcting codes - infotheo/ecc_classic/linearcode.v at master · affeldt-aist/infotheo
The authors' survey paper is devoted to the present state of computational methods in linear algebra. Questions discussed are the means and methods of
Proposition 2.1 Given a matrix (2.4) such that K1(x), K4(x) are even polyno- mials and K2(x), K3(x) are odd polynomials verifying conditions (2.7)-(2.9), there exists a unique decomposition of K(x) of the form 10 鈭払m(x) 1 1 Am(x) 01 路路路 10 鈭払1(x) 1 1 A1(...
Undergraduate Texts in Mathematics Sheldon Axler Linear Algebra Done Right Fourth Edition Undergraduate Texts in Mathematics Undergraduate Texts in Mathematics Series Editors Pamela Gorkin, Mathematics Department, Bucknell University, Lewisburg, PA, USA Jessica Sidman, Mathematics and Statistics, Amherst College...
Nguyen et al., “Structures for M-Channel Perfect-Reconstruction FIR QMF Banks Which Yield Linear-Phase Analysis Filters,” IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 38, No. 3, pp. 433-446 (Mar. 1990). Oraintara et al., “Integer Fast Fourier Transform,” IEEE...