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 Equation Solvers:     more books (100)

1. Linear Equation Solvers
http://www.algebra.com/algebra/homework/coordinate
##### Linear Equation Solvers
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Word Problems
Solve and practice cracking word problems. Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo Word Problems Forum
##### Solve a Linear Equation
New! Practice Linear Equations! Improves your test scores! We solve equations of form: ax + b = c
lesson on Solving Linear Equations
##### Solve Linear Systems
Use this form to solve linear systems, by substitution or elimination-by-addition method. [NEW!]Check out Word Problems involving Linear Systems!
New!
Practice Linear Systems! Improves your test scores! x y =
x y =
Choose Method:
##### Plot a Graph
Plot from x = to x = and y = to y =
Solve for
##### Solve a system of inequalities
INEQUALITIES [ one per line ] VARIABLE OPTIONS Approximate to digits Plot a linear Inequality. Type in inequality in the box and enter the range of x,y.

2. Elegant Mathematics, Inc. Linear Equation Solvers
Robust, Efficient Linear Solvers. from. Elegant Mathematics, Inc. Elegant Mathematics, Inc. designs, develops, markets, and supports Iterative Linear Solvers based upon an advanced suite of preconditioning schemes and highly stable iteration methods. iteration methods. Elegant's Solvers are exceptionally robust and Moreover, Elegant's Solvers are highly efficient with
http://www.elegant-math.com/brochure.htm
##### Elegant Mathematics, Inc.
Elegant Mathematics, Inc. designs, develops, markets, and supports Iterative Linear Solvers based upon an advanced suite of preconditioning schemes and highly stable iteration methods . Elegant's Solvers are exceptionally robust and are able to solve highly ill-conditioned problems, even problems which can not be solved by any other reasonable cost method. Moreover, Elegant's Solvers are highly efficient with respect to their CPU, memory, and disk IO requirements and are almost always able to substantially reduce the computer costs associated with solving difficult, and especially very large, Linear Systems. Solvers for Dense Linear Systems
• RDENSE for Real Dense problems CDENSE for Complex Dense problems for Very Large Real Dense problems for Very Large Complex Dense problems
Solvers for Sparse Linear Systems
• for Structured problems for Unstructured problems
Solvers for Hybrid Linear Systems (Sparse Matrices containing a Dense block)
• for Unstructured Hybrid (FEM/BEM) problems
All of Elegant's Solvers are written in Fortran 77 and are available on a wide range of serial, vector, and parallel computers. Parallel versions of the Solvers use MPI. Most Solvers offer an efficient out-of-core option which enables the user to solve very large problems in a small memory window without an appreciable IO delay.

3. Website Disabled
A book (with CD) describing modeling and visualization of magnetic fields. Also described are the numerical algorithms used for solving the equations.
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4. Number Theory
Proofs along with equation solvers and graphical views written in Java.
http://www.alpertron.com.ar/NUMBERT.HTM
Dario Alpern's site Home Page Ver sitio en castellano ELECTRONICS Intel Microprocessors (Spanish only)
MATHEMATICS Calculators Number Theory Problems
CONTACT Personal Comments Guestbook Discussion board ... Donations
##### Number theory
This site features:
• Generic Two integer variable equation solver Diophantine equation ax + bxy + cy + dx + ey + f = solver, where the unknowns x and y can be integer numbers only. Written in Java/JavaScript. Last updated on May 31st, 2001.
• Quadratic modular equation solver Calculator that can solve equations of the form ax + bx + c = (mod n) . Last updated: May 2nd, 2002.
• Sum of powers Table of relations of the form a p + b q = c r with gcd(a,b,c) = 1 . Last updated: September 7th, 2003.
• Ulam's Spiral Java applet featuring a graphical view of prime numbers. Last updated on February 14th, 2003.
• Factorization using the Elliptic Curve Method Applet that can be used to find 20- or 30-digit factors of numbers or numerical expressions up to 1000 digits long. It also computes the number and sum of divisors, Euler's totient and Moebius, and its decomposition as a sum of up to 4 perfect squares. Last updated on February 9th, 2003.
• Gaussian Integer Factorization applet Finds the factors of complex numbers of the form a+bi where a and b are integers. It also includes a complete calculator with operators and functions using gaussian integers. Last updated on June 1st, 2002.
•  5. Interactive Control Results and techniques of polynomial matrix descriptions (PMDs) of linear systems including equation solvers.http://control.math.auth.gr/

 6. Performance Of NASA Equation Solvers On Computational Mechanics Performance of NASA equation solvers on Computational Mechanics Applications This paper describes the performance of a new family of NASAdeveloped equation solvers used for large-scale (i.e. 551http://rdre1.inktomi.com/click?u=http://techreports.larc.nasa.gov/ltrs/papers/NA

7. Education.ti.com - Home
Compact, easy to use, reliable computer algebra software. It intelligently applies the rules of algebra, trigonometry, calculus and matrix algebra to solve a wide range of mathematical problems. This nonnumeric approach goes far beyond the capabilities of dedicated statistics packages and equation solvers that use only approximate numerical techniques.
http://www.ti.com/calc/docs/derive.htm

8. EECS/ERL Research Summaries
Parallel Multigrid equation solvers for Unstructured Finite Element Problems. Mark Adams ( Professor James W. Demmel) ( DOE) W7405-ENG-48
 EECS/ERL Research Summaries The Research Summary is produced once a year by the Industrial and Public Relations Office Electrical Engineering and Computer Sciences Department , and the Electronics Research Laboratory of the University of California, Berkeley . Hardcopies of the current book are available from the Publications Office , 203 Cory Hall. 2004 Research Summary 2003 Research Summary We are no longer hosting web pages for the 1995-2002 Research Summaries. Please contact the Publications Office if you would like copies of any of our old abstracts. Abstract Submission Form (EECS Graduate students only) For questions regarding the Research Summary or other IPRO publications , please contact the Publications Office For questions regarding Industrial Relations or the Industrial Liaison Program, please contact indrelations@eecs.berkeley.edu or EECS Industrial and Public Relations Office 201 Cory Hall #1770 University of California, Berkeley Berkeley, California 94720-1770 (510) 643-6694 (fax)

9. Performance Of NASA Equation Solvers
PERFORMANCE OF NASA equation solvers ON COMPUTATIONAL MECHANICS APPLICATIONS. 4) for VSS and system library equation solvers. Fig.
http://techreports.larc.nasa.gov/ltrs/papers/NASA-aiaa-96-1505/olaf.fm5.html
##### PERFORMANCE OF NASA EQUATION SOLVERS ON COMPUTATIONAL MECHANICS APPLICATIONS
Olaf O. Storaasli* Computational Structures Branch NASA Langley Research Center Hampton VA
• Introduction
• VSS Performance
• 88,404 Equation Mach 3 HSCT
• 263,574 Equation Automobile ...
• Abstract This paper describes the performance of a new family of NASA-developed equation solvers used for large-scale (i.e. 551,705 equations) structural analysis. To minimize computer time and memory, the solvers are divided by application and matrix characteristics (sparse/dense, real/complex, symmetric/nonsymmetric, size: in-core/out of core) and exploit the hardware features of current and future computers. In this paper, the equation solvers, which are written in FORTRAN, and are therefore easily transportable, are shown to be faster than specialized computer library routines utilizing assembly code. Twenty NASA structural benchmark models with NASA solver timings reside on World Wide Web with a challenge to beat them.
##### Introduction
The goal of this paper is to describe the performance of new NASA-developed general-purpose algorithms to solve systems of equations for static and vibration analyses of structures. The new equation solvers run at world-record speeds for structural analysis based on direct comparisons with other well-known equation solvers. They have been implemented on high-performance supercomputers (Cray C-90), workstations (IBM RS 6000, Sun) and a Pentium-Pro desktop system.

 10. DOE Document - High-performance Banded And Profile Equation Solvers This report describes algorithms, performance, applications, and user information associated with two equationsolving codes for the CRAY-1 (1) Solution of a single banded matrix equation, as part of a library of CAL-coded equation-solvers.^The mathematical software described herein is the result ofhttp://rdre1.inktomi.com/click?u=http://www.osti.gov/energycitations/product.bib

11. Quadratic Equation Solver - Revisited
Quadratic Equation Solver Revisited. Problem Statement. It is more complex than all previous versions of quadratic equation solvers.
##### Problem Statement
Given a quadratic equation as follows: if b*b-4*a*c is non-negative, the roots of the equation can be solved with the following formulae: Write a program to read in the coefficients a b and c , and solve the equation. Note that a quadratic equation has repeated root if b*b-4.0*a*c is equal to zero. However, if a is zero, the equation becomes a linear one whose only solution is -c/b if b is not zero. Otherwise, if b is zero, two cases are possible. First, if c is also zero, any number can be a solution because all three coefficients are zero. Otherwise, the equation c = cannot have any solution. This program should handle all cases.
##### Program Input and Output
Since we have been doing the quadratic part in several similar examples, the following concentrates on the order part of the program.
• If the input to the program consists of 0.0, 1.0 and 5.0, we have the following output. Since a is zero, this could be a linear equation. Since b=1.0

Homework Hotline MATH HELP - equation solvers. MATH HELP - equation solvers. Multiplication x. Division /. Addition +. Subtraction -. Square Root. Absolute Value.
http://www.homeworkhotline.com/EquationSolver.htm
 MATH HELP - Equation Solvers Multiplication x Division Addition Subtraction Square Root Absolute Value Equations x + x = x - x = x * x = x / x = Visit our other sites African Americans American Revolution American Indians Bill of Rights ... Vietnam War Contact Homework Hotline Americans.net

 13. MATLAB Central File Exchange - Differential Algebraic Equation Solvers MATLAB Central File Exchange Mathematics Differential Equations Differential Algebraic equation solvers. Differential Algebraic equation solvers,http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=28&obje

14. What's New In Mathematica 4.1: Symbolic Differential Equation Solvers
Enhanced Symbolic Differential equation solvers. The symbolic differential equation solvers in Mathematica 4.1 are completely redesigned
http://www.wolfram.com/products/mathematica/newin41/computing.html
##### Enhanced Symbolic Differential Equation Solvers
The symbolic differential equation solvers in Mathematica 4.1 are completely redesigned and now cover almost all classical methods. These include a new implementation of Kovacic's algorithm for solving second-order linear homogeneous differential equations with rational function coefficients, powerful new methods and symmetry techniques for solving first-order nonlinear differential equations, improved recognition of differential equations for special functions, and powerful integrating factor methods for second-order nonlinear ordinary differential equations. In addition, the methods for finding solutions of partial differential equations are upgraded significantly. The improvements in DSolve are profound and cover nearly every class of differential equations handled by Mathematica . In addition to the new and revised methods, the new code has an enhanced parser, is much more modular, and is easier to maintain. The following examples cover just a fraction of the improvements, but they should give you an overview of the breadth of enhancements in this release.

 15. What's New In Mathematica 4.1: Symbolic Differential Equation Solvers Enhanced Symbolic Differential equation solvers. The symbolic differential equation solvers in Mathematica 4.1 are completely redesignedhttp://www.wolfram.com/products/mathematica/newin41/computing.html?print_this_pa

16. Elegant Mathematics, Inc. Applications
A level of Application evolution resides beyond the life cycle extension that more powerful Linear equation solvers can bring to existing application programs.
http://www.elegant-math.com/apps.htm
##### Application Engines
A level of Application evolution resides beyond the life cycle extension that more powerful Linear Equation Solvers can bring to existing application programs. Specifically, there is an opportunity to examine the fundamental Approximation schemes employed by applications to determine if a more accurate solution approach may exist. Such advanced Approximations schemes have often been considered in the past, but have usually been discarded as unfeasible due to either the computational cost of obtaining a solution or due to the inability of existing Linear Equation solution methods to solve the matrices which will be generated by these approaches. Elegant Mathematics, Inc. is working to produce two Application Engines which exploit such advanced approximation schemes. We intend that these Engines will be applied to solving Grand Challenge class industrial and research problems.
##### Computational Electromagnetics
In the Computational Electromagnetics (CEM) domain, we have obtained results showing that in order to get the same accuracy of the integral solution using the approximation schemes we propose, one needs to solve systems of linear equations with dense complex matrices which are tens and hundreds of times smaller than those arising in the standard Rao-Wilton-Glisson method. We can also show other potential benefits when applying hierarchical high order approximations to solution of challenging industrial CEM problems.

17. Fast Banded Linear Equation Solvers
Fast Banded Linear equation solvers. Russell K. Standish ANU Supercomputing Facility The Australian National University GPO Box 4, Canberra, 2601, Australia.
http://parallel.hpc.unsw.edu.au/rks/docs/blockcr/blockcr.html
Next: Introduction
##### Fast Banded Linear Equation Solvers
Russell K. Standish
ANU Supercomputing Facility
The Australian National University
GPO Box 4, Canberra, 2601, Australia
##### Abstract:
A new algorithm for solving triangular linear equations is reported that is significantly faster than conventional methods on vector and parallel architectures for small bandwidths. In essence, it is a block version of the cyclic reduction algorithm used for tridiagonal systems of equations, and is applicable to general banded systems as well.

Russell Standish
Tue Jul 30 18:01:23 EST 1996

18. Web-Based Control System Analysis And Design
Lyapunov equation solvers. DESCRIPTION In control engineering, Lyapunov matrix equation is often used to solve problems related to the system stability.
http://www.softintegration.com/chhtml/toolkit/control/lyap.html
##### DESCRIPTION:
In control engineering, Lyapunov matrix equation is often used to solve problems related to the system stability. The general form of the Lyapunov matrix equation (Sylvester equation) can be represented as follows, where matrices A, B and Q must have compatible dimensions. For discrete-time, this function solve the following discrete-time Lyapunov equation. Please select a model to represent the system:
##### System Model:
State-space equations
##### System Type:
Continuous-time.
Discrete-time with the sampling time of second

19. Equation Solvers
equation solvers. Due to the fact that the class interface is the same for serial and parallel versions, the same source code can be used in both cases.
http://www.ica1.uni-stuttgart.de/Recent_publications/Papers/kai/hlrs99/report/no
Next: Code Example Up: Quadrilateral arrays, regular grids Previous: Quadrilateral arrays, regular grids
##### Equation solvers
Due to the fact that the class interface is the same for serial and parallel versions, the same source code can be used in both cases. This is demonstrated for instance in the example below where a Gauss-Seidel smoothing is performed. The method ensures consistency of the shadow values with boundary conditions and across processors. The single processor version of this subroutine does not perform communication, but uses copy operations on shadow data elements to implement boundary conditions. The operation to be performed on the data elements of the array is specified in the object GaussSeidel in the same fashion as in the Force object of Sec. . The two members and return the index values of the PE local part of the parallel array. Please note that all, if any, parallelism of the program fragment is hidden within the object and its member functions. More intelligence is built into the arrays by providing specific classes for solution schemes. In the case above, a full multigrid hierarchy is erected on top of the array holding the variables of the PDE to be solved and the Gauss-Seidel smoother is part of it. Further technical details are described in [
Next: Code Example Up: Quadrilateral arrays, regular grids

20. Linear Equation Solvers
Linear equation solvers. ! threshold will cause premature termination of the linear equation ! solver and return false as the return value of the function.
http://www.scd.ucar.edu/tcg/consweb/Fortran90/F90Tutorial/node26.html
Next: One-Dimensional Multigrid Up: Complete Example Programs Previous: Rational Arithmetic
##### Linear Equation Solvers
Next: One-Dimensional Multigrid Up: Complete Example Programs Previous: Rational Arithmetic

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