# Introduction to the Maple Power Tool Intpakx

Serdica Journal of Computing (2007)

- Volume: 1, Issue: 4, page 469-504
- ISSN: 1312-6555

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topKrämer, Walter. "Introduction to the Maple Power Tool Intpakx." Serdica Journal of Computing 1.4 (2007): 469-504. <http://eudml.org/doc/11437>.

@article{Krämer2007,

abstract = {The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006The Maple Power Tool intpakX [24] de nes Maple types for
real intervals and complex disc intervals. On the level of basic operations,
intpakX includes the four basic arithmetic operators, including extended
interval division as an extra function. Furthermore, there are power, square,
square root, logarithm and exponential functions, a set of standard functions,
union, and intersection. Reimplementations of the Maple construction,
conversion, and unapplication functions are available. Additionally, there
is a range of operators for complex disc arithmetic.
As applications, verified computation of zeroes (Interval Newton Me-
thod) with the possibility to find all zeroes of a function on a specified
interval, and range enclosure for real-valued functions of one or two variables
are implemented, the latter using either interval evaluation or evaluation
via the mean value form and adaptive subdivision of intervals. The user
can choose between a non-graphical and a graphical version of the above
algorithms displaying the resulting intervals of each iteration step.
The source code (about 2000 lines of Maple\{code) of the extension
intpakX is freely available [23].},

author = {Krämer, Walter},

journal = {Serdica Journal of Computing},

keywords = {Computer Algebra; Validated Computations; Visualization Of Interval Methods; Didactical Tool; Maple Power Tool; intpakX; computer algebra; validated computations; visualization of interval methods; interval Newton method},

language = {eng},

number = {4},

pages = {469-504},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Introduction to the Maple Power Tool Intpakx},

url = {http://eudml.org/doc/11437},

volume = {1},

year = {2007},

}

TY - JOUR

AU - Krämer, Walter

TI - Introduction to the Maple Power Tool Intpakx

JO - Serdica Journal of Computing

PY - 2007

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 1

IS - 4

SP - 469

EP - 504

AB - The paper has been presented at the 12th International Conference on Applications of
Computer Algebra, Varna, Bulgaria, June, 2006The Maple Power Tool intpakX [24] de nes Maple types for
real intervals and complex disc intervals. On the level of basic operations,
intpakX includes the four basic arithmetic operators, including extended
interval division as an extra function. Furthermore, there are power, square,
square root, logarithm and exponential functions, a set of standard functions,
union, and intersection. Reimplementations of the Maple construction,
conversion, and unapplication functions are available. Additionally, there
is a range of operators for complex disc arithmetic.
As applications, verified computation of zeroes (Interval Newton Me-
thod) with the possibility to find all zeroes of a function on a specified
interval, and range enclosure for real-valued functions of one or two variables
are implemented, the latter using either interval evaluation or evaluation
via the mean value form and adaptive subdivision of intervals. The user
can choose between a non-graphical and a graphical version of the above
algorithms displaying the resulting intervals of each iteration step.
The source code (about 2000 lines of Maple{code) of the extension
intpakX is freely available [23].

LA - eng

KW - Computer Algebra; Validated Computations; Visualization Of Interval Methods; Didactical Tool; Maple Power Tool; intpakX; computer algebra; validated computations; visualization of interval methods; interval Newton method

UR - http://eudml.org/doc/11437

ER -

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