Sage for Linear Algebra
نویسنده
چکیده
modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled " GNU Free Documentation License " .
منابع مشابه
Multivariate Polynomials in Sage
We have developed a patch implementing multivariate polynomials seen as a multi-base algebra. The patch is to be released into the software Sage and can already be found within the Sage-Combinat distribution. One can use our patch to define a polynomial in a set of indexed variables and expand it into a linear basis of the multivariate polynomials. So far, we have the Schubert polynomials, the ...
متن کاملGroup theory in SAGE
SAGE is an open source computer algebra system implemented using an object-oriented categorical framework, with methods for objects, methods for their elements, and methods for their morphisms. Currently, SAGE has the ability to deal with abelian groups, permutation groups, and matrix groups over a finite field. This paper will present an overview of the implementations of the group-theoretical...
متن کاملCombining FCA Software and Sage
This paper discusses in how far FCA software can be combined with the computer algebra system Sage. The motivation for this paper is teaching mathematics to software engineering students using Sage and FCA which highlights differences and connections between mathematical and computational structures. Furthermore, this paper provides implementation details on how Sage’s functions for matrices, g...
متن کاملSome results on Haar wavelets matrix through linear algebra
Can we characterize the wavelets through linear transformation? the answer for this question is certainly YES. In this paper we have characterized the Haar wavelet matrix by their linear transformation and proved some theorems on properties of Haar wavelet matrix such as Trace, eigenvalue and eigenvector and diagonalization of a matrix.
متن کاملIsomorphisms in unital $C^*$-algebras
It is shown that every almost linear bijection $h : Arightarrow B$ of a unital $C^*$-algebra $A$ onto a unital$C^*$-algebra $B$ is a $C^*$-algebra isomorphism when $h(3^n u y) = h(3^n u) h(y)$ for allunitaries $u in A$, all $y in A$, and all $nin mathbb Z$, andthat almost linear continuous bijection $h : A rightarrow B$ of aunital $C^*$-algebra $A$ of real rank zero onto a unital$C^*$-algebra...
متن کامل