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HP-15C
Advanced functions handbook
HP -15C Advanced Functions Handbook
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Owner's handbook manual
(288 pages)
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Contents
Table of Contents
Bookmarks
Table of Contents
Table of Contents
Contents
Introduction
Section 1: Using
Finding Roots
How SOLVE Samples
Handling Troublesome Situations
Easy Versus Hard Equations
Inaccurate Equations
Equations with Several Roots
Using | SOLVE | with Polynomials
Solving a System of Equations
Finding Local Extremes of a Function
Using the Derivative
Using an Approximate Slope
Using Repeated Estimation
Applications
Annuities and Compound Amounts
Discounted Cash Flow Analysis
Section 2: Working with
Numerical Integration Using |7T
Accuracy of the Function to be Integrated
Functions Related to Physical Situations
Round-Off Error in Internal Calculations
Shortening Calculation Time
Subdividing the Interval of Integration
Transformation of Variables
Calculating Difficult Integrals
Application
Section 3: Calculating in Complex Mode
Using Complex Mode
Trignomometric Modes
Definitions of Math Functions
Arithmetic Operations
Single-Valued Functions
Multivalued Functions
Using | SOLVE | and |7T| in Complex Mode
Acuracy in Complex Mode
Applications
Storing and Recalling Complex Numbers Using a Matrix
Calculating the /?Th Roots of a Complex Number
Solving an Equation for Its Complex Roots
Contour Integrals
Complex Potentials
Section 4: Using Matrix Operations
Understanding the LU Decomposition
Ill-Conditioned Matrices and the Condition Number
The Accuracy of Numerical Solutions to Linear Systems
Making Difficult Equations Easier
Scaling
Preconditioning 1
Least-Squares Calculations
Normal Equations
Orthogonal Factorization
Singular and Nearly Singular Matrices
Applications
Constructing an Identity Matrix
One-Step Residual Correction
Solving a System of Nonlinear Equations
Solving a Large System of Complex Equations
Least-Squares Using Normal Equations
Least-Squares Using Successive Rows
Eigenvalues of a Symmetric Real Matrix
Eigenvectors of a Symmetric Real Matrix
Optimization 1
Appendix: Accuracy of Numerical Calculations
Misconceptions about Errors
A Hierarchy of Errors
Level 0: no Error
Level Oo : Overflow/Underflow
Level 1: Correctly Rounded, or Nearly so
Level 1C: Complex Level 1
Level 2: Correctly Rounded for Possibly Perturbed Input 1
Trigonometric Functions of Real Radian Angles
Backward Error Analysis
Backward Error Analysis Versus Singularities
Summary to here
Backward Error Analysis of Matrix Inversion
Is Backward Error Analysis a Good Idea
Index
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HEWLETT-PACKARD
HP-15C
ADVANCED FUNCTIONS
HANDBOOK
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