TY - GEN

T1 - Extending maple capabilities for solving and displaying inequalities

AU - Iglesias, A.

AU - Ipanaqué, R.

PY - 2006

Y1 - 2006

N2 - Solving inequalities is a very important topic in computational algebra. This paper presents a new Maple package, IneqGraphics, for displaying the two-dimensional solution sets of several inequalities of real variables. The package also deals with inequalities involving complex variables by displaying the corresponding solutions on the complex plane. The package provides graphical solutions to many inequalities (such as those involving polynomial, rational, logarithmic, exponential and trigonometric functions) that cannot be solved by using the standard Maple commands, which are basically reduced to linear inequalities. In addition, our outputs are consistent with Maple's notation and results in the sense that the package provides a similar output for those cases that can also be solved with Maple. To show the performance of the package, several illustrative and interesting examples are described.

AB - Solving inequalities is a very important topic in computational algebra. This paper presents a new Maple package, IneqGraphics, for displaying the two-dimensional solution sets of several inequalities of real variables. The package also deals with inequalities involving complex variables by displaying the corresponding solutions on the complex plane. The package provides graphical solutions to many inequalities (such as those involving polynomial, rational, logarithmic, exponential and trigonometric functions) that cannot be solved by using the standard Maple commands, which are basically reduced to linear inequalities. In addition, our outputs are consistent with Maple's notation and results in the sense that the package provides a similar output for those cases that can also be solved with Maple. To show the performance of the package, several illustrative and interesting examples are described.

UR - http://www.scopus.com/inward/record.url?scp=33746632928&partnerID=8YFLogxK

U2 - 10.1007/11758525_52

DO - 10.1007/11758525_52

M3 - Conference contribution

AN - SCOPUS:33746632928

SN - 3540343814

SN - 9783540343813

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 383

EP - 390

BT - Computational Science - ICCS 2006

PB - Springer Verlag

T2 - ICCS 2006: 6th International Conference on Computational Science

Y2 - 28 May 2006 through 31 May 2006

ER -