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Efficient Java Matrix Library (EJML) is a [http://en.wikipedia.org/wiki/Linear_algebra linear algebra]  library for manipulating real/complex/dense/sparse matrices. Its design goals are; 1) to be as computationally and memory efficient as possible for both small and large matrices, and 2) to be accessible to both novices and experts. These goals are accomplished by dynamically selecting the best algorithms to use at runtime, clean API, and multiple interfaces. EJML is free, written in 100% Java and has been released under an Apache v2.0 license.
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Efficient Java Matrix Library (EJML) is a [https://en.wikipedia.org/wiki/Linear_algebra linear algebra]  library for manipulating real/complex/dense/sparse matrices. Its design goals are; 1) to be as computationally and memory efficient as possible for small and large, dense and sparse, real and complex matrices, and 2) to be accessible to both novices and experts. These goals are accomplished by dynamically selecting the best algorithms to use at runtime, clean API, and multiple interfaces. EJML is free, written in 100% Java and has been released under an Apache v2.0 license.
  
  
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EJML has three distinct ways to interact with it:  1) ''procedural'', 2) ''SimpleMatrix'', and 3) ''Equations''.  ''Procedure'' provides all capabilities of EJML and almost complete control over memory creation, speed, and specific algorithms.  ''SimpleMatrix'' provides a simplified subset of the core capabilities in an easy to use flow styled object-oriented API, inspired by [http://math.nist.gov/javanumerics/jama/ Jama].  ''Equations'' is a symbolic interface, similar in spirit to [http://www.mathworks.com/products/matlab/ Matlab] and other [http://en.wikipedia.org/wiki/Computer_algebra_system CAS], that provides a compact way of writing equations.
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EJML has three distinct ways to interact with it:  1) ''procedural'', 2) ''SimpleMatrix'', and 3) ''Equations''.  ''Procedure'' provides all capabilities of EJML and almost complete control over memory creation, speed, and specific algorithms.  ''SimpleMatrix'' provides a simplified subset of the core capabilities in an easy to use flow styled object-oriented API, inspired by [https://math.nist.gov/javanumerics/jama/ Jama].  ''Equations'' is a symbolic interface, similar in spirit to [https://www.mathworks.com/products/matlab/ Matlab] and other [https://en.wikipedia.org/wiki/Computer_algebra_system CAS], that provides a compact way of writing equations.
 
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{|style="font-size:120%; text-align:left;"
 
{|style="font-size:120%; text-align:left;"
 
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| '''Version:''' ''v0.34''
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| '''Version:''' ''v0.45.0''
 
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| '''Date:''' ''April 13, 2018''  
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| '''Date:''' ''May 15, 2026''  
 
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| [https://github.com/lessthanoptimal/ejml/blob/master/convert_to_ejml31.py Upgrade Script]
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| [https://github.com/lessthanoptimal/ejml/blob/master/convert_to_ejml31.py v0.31 Upgrade Script]
 
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| [https://github.com/lessthanoptimal/ejml/blob/v0.34/change.txt Change Log]
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| [https://github.com/lessthanoptimal/ejml/blob/v0.45.0/change.txt Change Log]
 
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| [[manual|Manual]]
 
| [[manual|Manual]]
 
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| [http://ejml.org/javadoc/ JavaDoc]
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| [https://ejml.org/javadoc/ JavaDoc]
 
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{| width="200pt" border="1"  align="center" style="font-size:120%; text-align:center; border-collapse:collapse;  background-color:#ffffee;"
 
{| width="200pt" border="1"  align="center" style="font-size:120%; text-align:center; border-collapse:collapse;  background-color:#ffffee;"
 
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| [http://groups.google.com/group/efficient-java-matrix-library-discuss Message Board]
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| [https://groups.google.com/group/efficient-java-matrix-library-discuss Message Board]
 
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| [https://github.com/lessthanoptimal/ejml/issues Bug Reports]
 
| [https://github.com/lessthanoptimal/ejml/issues Bug Reports]
 
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| [[Frequently Asked Questions|FAQ]]
 
| [[Frequently Asked Questions|FAQ]]
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| [[Kotlin|Kotlin]]
 
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| [[Users|Users]]
 
| [[Users|Users]]
 
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== News 2026 ==
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| -
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|
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* Faster low level BLAS-1 style operations
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* New customizable format() for serializing Matrices and other structures
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* Equations has gotten more functions
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* SimpleMatrix improvements
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* More concurrency
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* Block Cholesky supports more variants and has much better runtime
 
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* Fixed Sized
 
* Fixed Sized
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** Matrix 2x2 to 6x6
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** Vector 2 to 6
 
* Dense Real
 
* Dense Real
 
** Row-major
 
** Row-major
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* Dense Complex
 
* Dense Complex
 
** Row-major
 
** Row-major
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* Sparse Real
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** Compressed Column
  
 
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* Full support for floats and doubles
 
* Basic Operators (addition, multiplication, ... )
 
* Basic Operators (addition, multiplication, ... )
 
* Matrix Manipulation (extract, insert, combine, ... )
 
* Matrix Manipulation (extract, insert, combine, ... )
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Support for floats (32-bit) and doubles (64-bit) is available.  Sparse matrix support is only available for basic operations at this time.
 
Support for floats (32-bit) and doubles (64-bit) is available.  Sparse matrix support is only available for basic operations at this time.
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EJML is currently a single threaded library only.  Multi threaded work will start once block implementations of SVD and Eigenvalue are finished.
 
 
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Latest revision as of 15:03, 15 May 2026


Ejml logo.gif

Efficient Java Matrix Library (EJML) is a linear algebra library for manipulating real/complex/dense/sparse matrices. Its design goals are; 1) to be as computationally and memory efficient as possible for small and large, dense and sparse, real and complex matrices, and 2) to be accessible to both novices and experts. These goals are accomplished by dynamically selecting the best algorithms to use at runtime, clean API, and multiple interfaces. EJML is free, written in 100% Java and has been released under an Apache v2.0 license.


EJML has three distinct ways to interact with it: 1) procedural, 2) SimpleMatrix, and 3) Equations. Procedure provides all capabilities of EJML and almost complete control over memory creation, speed, and specific algorithms. SimpleMatrix provides a simplified subset of the core capabilities in an easy to use flow styled object-oriented API, inspired by Jama. Equations is a symbolic interface, similar in spirit to Matlab and other CAS, that provides a compact way of writing equations.

Version: v0.45.0
Date: May 15, 2026
v0.31 Upgrade Script
Change Log
Download
Manual
JavaDoc
Message Board
Bug Reports
FAQ
Kotlin
Acknowledgments
Performance
Users

News 2026

-
  • Faster low level BLAS-1 style operations
  • New customizable format() for serializing Matrices and other structures
  • Equations has gotten more functions
  • SimpleMatrix improvements
  • More concurrency
  • Block Cholesky supports more variants and has much better runtime

Code Examples

Demonstrations on how to compute the Kalman gain "K" using each interface in EJML.

Procedural 

mult(H,P,c);
multTransB(c,H,S);
addEquals(S,R);
if( !invert(S,S_inv) )
    throw new RuntimeException("Invert failed");
multTransA(H,S_inv,d);
mult(P,d,K);

SimpleMatrix 

SimpleMatrix S = H.mult(P).mult(H.transpose()).plus(R);
SimpleMatrix K = P.mult(H.transpose().mult(S.invert()));

Equations 

eq.process("K = P*H'*inv( H*P*H' + R )");

Functionality

Data Structures Operations
  • Fixed Sized
    • Matrix 2x2 to 6x6
    • Vector 2 to 6
  • Dense Real
    • Row-major
    • Block
  • Dense Complex
    • Row-major
  • Sparse Real
    • Compressed Column
  • Full support for floats and doubles
  • Basic Operators (addition, multiplication, ... )
  • Matrix Manipulation (extract, insert, combine, ... )
  • Linear Solvers (linear, least squares, incremental, ... )
  • Decompositions (LU, QR, Cholesky, SVD, Eigenvalue, ...)
  • Matrix Features (rank, symmetric, definitiveness, ... )
  • Random Matrices (covariance, orthogonal, symmetric, ... )
  • Unit Testing
.


Decomposition Dense Real Dense Complex Sparse Real Sparse Complex
LU X X X
Cholesky LL X X X
Cholesky LDL X
QR X X X
QRP X
SVD X
Eigen-Symmetric X
Eigen-General X

Support for floats (32-bit) and doubles (64-bit) is available. Sparse matrix support is only available for basic operations at this time.

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