mathematics

JAMA (numerical linear algebra library)

JAMA (numerical linear algebra library) is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand JAMA (numerical linear algebra library) rather than just read about it. In short: JAMA is a software library for performing numerical linear algebra tasks created at National Institute of Standards and Technology in 1998 similar in functionality to LAPACK. Functionality The main capabilities provided by JAMA are: Eigensystem solving LU decomposition Singular value decomposition QR decomposition Cholesky decomposition Versions exist for both C++ and the Java programming language.

Key takeaways

JAMA (numerical linear algebra library) belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect JAMA (numerical linear algebra library) to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of JAMA (numerical linear algebra library) from memory before moving on to harder problems.

Reference excerpt

JAMA is a software library for performing numerical linear algebra tasks created at National Institute of Standards and Technology in 1998 similar in functionality to LAPACK.

Functionality The main capabilities provided by JAMA are:

Eigensystem solving LU decomposition Singular value decomposition QR decomposition Cholesky decomposition Versions exist for both C++ and the Java programming language. The C++ version uses the Template Numerical Toolkit for lower-level operations. The Java version provides the lower-level operations itself.

History As work of US governmental organization the algorithm and source code have been released to the public domain around 1998. JAMA has had little development since the year 2000, with only the occasional bug fix being released. The project's webpage contains the following statement, "(JAMA) is no longer actively developed to keep track of evolving usage patterns in the Java language, nor to further improve the API. We will, however, fix outright errors in the code." The last bug fix was released November 2012, with the previous one being released in 2005.

Usage example Example of Singular Value Decomposition (SVD):

Example of matrix multiplication:

See also List of numerical libraries List of open-source mathematical libraries

References

External links JAMA/C++ download and documentation page at NIST JAMA/Java homepage at NIST

Worked examples

Example 1 — a first encounter with JAMA (numerical linear algebra library)

Start with the simplest possible case. Write down what JAMA (numerical linear algebra library) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to JAMA (numerical linear algebra library) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about JAMA (numerical linear algebra library) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of JAMA (numerical linear algebra library)

In research: JAMA (numerical linear algebra library) appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses JAMA (numerical linear algebra library) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: JAMA (numerical linear algebra library) is common in secondary-school and first-year university syllabi. It links to neighbouring topics C++ numerical libraries, Numerical software, Public-domain software with source code, so understanding it makes those chapters shorter.
In everyday life: Look for JAMA (numerical linear algebra library) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study JAMA (numerical linear algebra library) in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what JAMA (numerical linear algebra library) means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain JAMA (numerical linear algebra library) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is JAMA (numerical linear algebra library) in simple terms?

JAMA is a software library for performing numerical linear algebra tasks created at National Institute of Standards and Technology in 1998 similar in functionality to LAPACK. Functionality The main capabilities provided by JAMA are: Eigensystem solving LU decomposition Singular value decomposition…

Why does JAMA (numerical linear algebra library) matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study JAMA (numerical linear algebra library)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on JAMA (numerical linear algebra library).