• Essential Math Module User’s Guide
  • Introduction
    • Welcome
    • Product Features
    • Products and Services Information
  • Templatized Collection Classes
    • Templates Defined
      • Pros and Cons of Templates
      • Template Specializations
    • Nonstandard Numeric Types
      • Defining a New Numeric Type
      • Adding New Numeric Types
        • Modifying the Numeric Trait Information
        • Adding Global and Specialized Functions
    • Iterators
      • Uses of Iterators
  • Vector, Matrix, and Array Classes
    • Overview
    • Some Simple Examples
      • Vectors
      • Matrix Example
      • An Array Example
    • Data and Views
    • Copy Constructor
    • Assignment
    • Construction Versus Assignment
    • Function reference()
    • Vector Copies
    • Subscripting
      • Subscripting with Character Strings
      • Advanced Subscripting
    • Picks
    • Arrays of Signed and Unsigned Chars
    • Data Storage Schemes
    • High Dimension Arrays
  • FFT Servers
    • Overview
    • Transforms of Real Sequences
    • Transforms of Even and Odd Sequences
  • Linear Algebra Classes
    • Overview
    • LU Factorization
    • Condition Number
  • Statistics Classes
    • Random Number Generators
    • Class Histogram
    • Class LeastSqFit
  • Persistence
    • Overview
    • A Simple Example Using Streams
  • Technical Notes
    • Errors
      • Violated Preconditions
      • Invalid Input
      • Asynchronous Errors
      • Exception Hierarchy
      • Error Numbers and Messages
    • Efficiency
      • Slices
      • Overall Efficiency
    • Basic Linear Algebra Package
  • Examples
    • Overview
    • Example Using the Vector Classes
    • Example Using the Matrix Classes
    • Example Using the FFT Server Class
    • Type Conversion Example
    • Example with saveOn()and restoreFrom()
    • Class Derivation Example
    • Linear Algebra Example
    • Example with Multiple Inheritance and Runtime Binding
    • Random Number Generator Example
    • User-Defined Type Example
• Business Analysis Module User’s Guide
  • Introduction
    • Welcome
    • Product Features
    • Products and Services Information
  • Library Architecture
    • Components
    • Regression Classes
    • Parameter Calculation Classes
      • The Base Calculation
    • Model Selection Classes
  • Definitions
    • Note
    • Multiple Linear Regression
      • Parameter Calculation by Least Squares Minimization
      • Model Variance
      • Parameter Dispersion (Variance-Covariance) Matrix
      • Significance of the Model (Overall F Statistic)
        • p-Value
        • Critical Value
      • Significance of Predictor Variables
        • p-Values
        • Critical Values
      • Prediction Intervals
    • Logistic Regression
      • Parameter Calculation
      • Parameter Variances and Covariances
      • Significance of the Model
        • G Statistic
        • Pearson Statistic
        • Hosmer-Lemeshow Statistic
      • Parameter Significance (Wald Test)
        • p-Values
        • Critical Values
  • Model Selection
    • Definition
    • Model Selection Viewed As Search
      • Exhaustive Search
      • Forward Selection
      • Backward Selection
      • Stepwise Selection
  • Using the Classes
    • Overview
    • Regression Classes
      • Updating Parameter Estimates
      • Intercept Option
    • Parameter Estimate Classes
    • Regression Analysis Classes
      • Class RWLinearRegressionANOVA
      • Class RWLogisticFitAnalysis
      • Class RWLinearRegressionFTest
    • Parameter Calculation Classes
      • Calculation Methods for Linear Regression
        • RWLeastSqQRCalc
        • RWLeastSqQRPvtCalc
        • RWLeastSqSVDCalc
      • Calculation Methods for Logistic Regression
        • RWLogisticIterLSQ
        • RWLogisticLevenbergMarquardt
      • Writing Your Own Parameter Calculation Class
    • Using the Model Selection Classes
      • Selection Evaluation Criteria: Function Objects
      • A Detailed Example
      • Writing Your Own Function Objects
• Currency Module User’s Guide
  • Introduction
    • Welcome
    • Product Features
    • Products and Services Information
  • Product Overview
    • Currency Classes
    • Money Class
    • Money Calculator Class
    • Conversion Classes
    • Decimal Classes
    • Formatting Class
    • Strings in the Currency Module
    • Persistence
    • Classes in Currency Module
    • Currency Module Examples
      • Building and Running the Currency Examples
  • Using the Currency Class
    • Introduction
    • Currency Information Class
    • Collections of Currencies
      • Available Currencies
      • Initializing a Currency Book
      • Adding, Deleting, and Searching for Currencies
  • Money and Calculations
    • Introduction
    • Attaching a Currency to a Value
    • Same-Currency Calculations
    • Mixed-Currency Calculations
      • Setting the Conversion Policy
      • Setting the Precision and Rounding Method
    • Supported Money Decimal Types
  • Currency Conversions
    • Introduction
    • Exchange Rates and Exchange Rate Tables
    • Currency Exchange Classes
    • Currency Exchange Groups
    • Currency Exchange Factory
    • Performing Currency Exchanges
    • Creating Custom Exchange Objects and Groups
      • Class USDollarBaseExchange
      • Class USDollarBaseGroup
      • Using the Custom Classes
    • The Exchange Class Hierarchies
  • Decimal Classes
    • Overview
    • How Decimal Values Are Represented
    • Precision
      • Class RWMultiPrecisionInt<n>
      • RWMP1Int, RWMP2Int, and RWMP3Int Integer Types
      • Fixed and Floating Decimal Classes
    • Decimal Arithmetic
    • Special Values
    • Rounding
    • Conversions
      • Conversion from Integers and Strings
      • Conversion from Built-In Floating Point
      • Conversion to Built-In Types
  • Formatting for Output
    • Overview
    • Formatting Numbers
      • Using Pictures
      • Advanced Pictures
      • Code Positions in Pictures
      • Embedding Pictures in Sentences
    • Formatter Objects
  • Errors and Error‑Handling
    • Overview
    • Overflow Conditions
    • Inexact Conditions
    • Error-Handling
      • Installing an Inexact Error Handler
      • Installing an Overflow Error Handler
    • Error Objects
  • Technical Notes
    • Localization
    • Base 2 Representation of Decimal Fractions
    • Input Format Grammar
    • Multithread Safety
• Linear Algebra Module User’s Guide
  • Introduction
    • Welcome
    • Product Features
    • Products and Services Information
  • Class Overview
    • The Class Concept
    • Kinds of Classes
      • A Note on Terminology
    • Class Groups of the Linear Algebra Module
      • Math Vector Classes
      • Sparse Matrix Classes
      • Factorization Classes
      • Symmetric Eigenvalue Decomposition Classes
      • Nonsymmetric Eigenvalue Decomposition Classes
      • Least Squares Factorization Classes
      • Decomposition Classes
  • Vectors and Matrices
    • Defining Vectors
    • Defining Matrices
    • Matrix Precision and Shape
    • Copy Constructors: References and Copies
    • Accessing Data
      • Individual Elements
      • Bounds Checking
      • Changing Elements with operator()()
      • val() and set()
      • Rows, Columns and Diagonals
      • Components of Complex Matrices
      • Direct Access to Data
    • Type Conversion
      • Converting Precisions
      • Converting Shapes
    • Submatrices
      • General Matrices
      • Leading Submatrices
  • Factorizations
    • Defining Factorizations
    • Solving a System of Equations
      • Error Checking
    • Solving Several Systems of Equations
    • Calculating the Determinant, Inverse, and Condition Number
      • Determinants
      • Matrix Inverses
      • Condition Number
  • Least Squares Factorizations
    • Defining the Problem
    • Solving a Least Squares Problem
    • Implementations Provided
    • Solving a Numerically Underdetermined System
  • Symmetric Eigenvalue Problems
    • Defining the Problem
    • Decomposition Object
    • Servers
    • Computing Selected Eigenvalues
  • Nonsymmetric Eigenvalue Problems
    • Defining the Problem
    • Decomposition Object
    • Servers
    • Schur Decompositions
    • Hessenberg and Balance Decompositions
  • Other Decompositions
    • Kinds of Decompositions
    • Singular Value Decomposition
      • SVD Server Objects
    • QR Decomposition and Complete Orthogonal Decomposition
      • Complete Orthogonal Decomposition
  • Technical Notes
    • Function operator()(int, int)
    • Matrix Entry Helper Classes
    • Helper Class Member Functions
    • Basic Linear Algebra Package

Essential Math Module User’s Guide

Basic Linear Algebra Package