Texas Instruments Voyage 200 Handbuch
2/7/02 ©2001, 2002 Texas Instruments
TI-89/TI-92 Plus/Voyage™ 200
Polynomial Root Finder
How To…
Start the Application Graph a Problem
Enter a Problem Store Values
Solve a Problem Navigate
Examples
Roots of a Third-Degree Polynomial
Complex Roots
Complex Coefficients
More Information
Customer Support Error Messages
Notes and Hints
TI
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 2
Important Information
Texas Instruments makes no warranty, either expressed or
implied, including but not limited to any implied warranties of
merchantability and fitness for a particular purpose, regarding
any programs or book materials and makes such materials
available solely on an "as-is" basis.
In no event shall Texas Instruments be liable to anyone for
special, collateral, incidental, or consequential damages in
connection with or arising out of the purchase or use of these
materials, and the sole and exclusive liability of Texas
Instruments, regardless of the form of action, shall not exceed
any applicable purchase price of this item or material. Moreover,
Texas Instruments shall not be liable for any claim of any kind
whatsoever against the use of these materials by any other
party.
Graphing product applications (Apps) are licensed. See the
terms of the license agreement for this product.
Microsoft, Windows, Windows NT, Apple, Macintosh, Mac, and Mac OS are trademarks of
their respective owners.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 3
What is the Polynomial Root Finder
Application?
The Polynomial Root Finder application (App) calculates numeric
roots (zeros) of polynomials using the calculator’s eigenvalue
routines.
The Polynomial Root Finder App provides a convenient,
easy-to-use interface to simplify setting up the problem, solving
it, and exploring the solution.
You can:
•Edit the coefficients of the polynomial.7
•Load a list for the coefficients.
•Store the solution in a list.
•Graph the polynomial.
•Solve up to 30th-order real or complex polynomials.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 4
Entering a Problem
Entering data manually
1. Start the Polynomial Root Finder App and select New.
2. Enter the degree of the polynomial. The degree must be an
integer between 1 and 30.
3. Press ¸to display the Coefficients screen.
4. Enter the first coefficient value. You can enter a real or
complex value or an expression that resolves to a real or
complex value.
5. Press ¸or Dto go to the next coefficient.
6. Continue entering coefficient values.
7. Press ¸after entering the last coefficient value.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 5
Loading existing data
You can load an existing list as all or part of the problem from
within the Polynomial Root Finder App by using either of the
following methods.
•Press „and select a folder and list.
•Press ƒ1:Load Coefficients and select a folder and list.
Editing coefficients
1. If you are on the Solutions screen, press †to display the
Coefficients screen.
2. Move the cursor to a coefficient and change its value.
3. Press ¸to accept the changes.
Clearing coefficients
Press ƒ8:Clear All.
Starting a new problem
Press ƒ3:New Problem.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 6
Solving Numerically
Solutions are always computed numerically, regardless of
whether the Exact/Approx mode setting is Auto,Exact,or
Approximate.The Polynomial Root Finder App calculates roots
numerically by finding the eigenvalues of a corresponding
companion matrix.
1. Complete the coefficient entry in the Coefficients screen. You
must press ¸to accept the last entered or changed
value.
2. Press ‡to solve the problem. The numeric values of the
roots appear in the Solutions screen. The busy indicator on
the status line displays while calculating the solution.
Note The roots x1...xnare displayed according to the Complex
Format mode setting. If the mode is Real,complex roots
are displayed as Non-Real unless a complex coefficient
was entered.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 7
Solving raphically
1. After entering coefficients, press 2 ˆ (TI-89) or
ˆ1:Open Graph.This option is available from either the
Coefficients or Solutions screen.
2. Select the graphing options and press ¸.
−Split Screen — Choose 1:Full or 2:Left-Right.(The
Top-Bottom option is not available.)
−Store Poly to — Choose a y-variable or choose 1:none to
graph without storing.
−Zoom — Choose 1:ZoomRoots,2:ZoomStd,3:ZoomFit,or
4:none.ZoomRoots sets the viewing window based on
the solutions found by the Polynomial Root Finder App,
relative minimums and maximums, and inflection points.
When the graph displays, the standard graph tools such as
Zoom, Trace, and Math are available on the tool bar.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 8
Displaying graph with coefficients or solutions
In split screen mode, a thick border indicates the active portion.
Press 2 a to switch between the graph and the Coefficients
or Solutions portion.
Graph portion is active Coefficients portion is active
To display the Solutions screen with the graph, switch to the
Coefficients portion of the split screen, and press ‡.
Solutions with graph
To return to the Coefficients screen, press †from the Solutions
screen.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 9
While in split screen mode, you can change the coefficients and
recalculate the solutions. The graph does not automatically
update for the new values. To update the graph, select
2 ˆ (TI-89) or ˆ1:Open Graph from the Coefficients or
Solutions screen.
Quitting the graph
1. Press 2 a to switch to the Coefficients or Solutions
screen.
2. Press 2 ˆ (TI-89) or ˆ2:Quit Graph.
TI-89 / TI-92 Plus / Voyage™ 200 PLT Polynomial Root Finder App Page 10
Storing
Once you have entered the coefficients, you can store:
•All the coefficients to a list.
•An individual coefficient to a variable.
•The polynomial to a Y= equation.
Once you have calculated the roots, you can store:
•All the roots to a list.
•An individual root to a variable.
To store from either the Coefficients or Solutions screen:
•Press …and select one of the following:
−1:Coefficients and select a folder and list name.
−2:Solutions and select a folder and list name.
−3:Poly to Y= Editor and select a y-variable.
Andere Handbücher für Voyage 200
8
Dieses Handbuch passt für folgende Modelle
2
Inhaltsverzeichnis
Andere Texas Instruments Kalkulator Handbücher
Texas Instruments
Texas Instruments TI-86 - ViewScreen Calculator Handbuch
Texas Instruments
Texas Instruments TI-82 STATS Bedienungsanleitung
Texas Instruments
Texas Instruments MathPrint TI-30X Plus Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire Firmware-Update
Texas Instruments
Texas Instruments TI-5630 Handbuch
Texas Instruments
Texas Instruments TI-83 - Plus Graphing Calculator Bedienungsanleitung
Texas Instruments
Texas Instruments -83 Plus Silver Edion Bedienungsanleitung
Texas Instruments
Texas Instruments SR-50 Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire Handbuch
Texas Instruments
Texas Instruments TI-Nspire Bedienungsanleitung
Texas Instruments
Texas Instruments TI-5033SV Bedienungsanleitung
Texas Instruments
Texas Instruments TI-10 Bedienungsanleitung
Texas Instruments
Texas Instruments Titanium TI-89 Produktinformationsblatt
Texas Instruments
Texas Instruments TI-5032SV Bedienungsanleitung
Texas Instruments
Texas Instruments TI-30XS Multiview Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire CX II Series Bedienungsanleitung
Texas Instruments
Texas Instruments TI-Nspire Series Bedienungsanleitung
Texas Instruments
Texas Instruments Titanium TI-89 Bedienungsanleitung
