There are lots of great material on Matrix Computations subject in the internet, buts its always a challenge to figure out a ready list of top books on Matrix Computations that one can refer to immediately. Even though online materials are good, but nothing can beat the depth of coverage that a book can offer. Hence, we researched the list of Matrix Computations books which are used by students worldwide and came up with top 10 Book Recommendations on Matrix Computations subject. These books can be used as a great starting point for anyone studying Matrix Computations and can also be used as a ready reference for UnderGraduate and PostGraduate programs.
Most of these Matrix Computations books are also in the bestseller lists in Amazon website. We have added a brief description of these best books and have also included direct links to Amazon site (as affiliate). This allows anyone to directly visit the site and order printed copies of these best books.
Here is the full list of best reference books on Matrix Computations.
1. “Iterative Solution Methods” by Owe Axelsson
Book Review: The book contains basic and classic methods that involve the study of linear algebra and numerical linear algebra. The book also deals with the construction of preconditioners and iterative acceleration methods of the conjugate gradient type. This book is very useful for graduate students and researchers in the field of numerical analysis and applied mathematics. This book is also useful for other areas where linear equation systems play an important role. The book also contains mathematical theory and concepts in the area of numerical linear algebra.


2. “Computer Solution of Large Linear Systems” by G. Meurant
Book Review: This book involves with the numerical methods which help in solving large sparse linear system of equations especially with the ones that involve discretization of partial differential equations. The book includes both direct and iterative methods. Direct methods include variants of Gaussian elimination which are helpful in solving differential equations in rectangular domains. The book also demonstrates classical iterative methods like Jacobi, gausssiedel and other direction algorithms. The book also contains a separate chapter on multigrid method and ends with domain decomposition algorithms.


3. “Matrix Computations” by Golub and C. Van Loan
Book Review: This book is a very good textbook for computer science which contains very useful information covering the mathematical background and algorithmic skills which are used in the production of numerical software. The book contains revised chapters on matrix multiplication problems, parallel matrix computations, CS decomposition treatment, floating point arithmetic operations, gramschmidt process, concepts of GMRES, QMR and other methods which demonstrate the sparse unsymmetric linear system problems.


4. “Matrix Perturbation Theory” by G. W. Stewart and J. Sun
Book Review: This book deals with the concepts of matrix perturbation theory which are presented in the form of surveys. This book is very useful to numerical analysts, statisticians, physical scientists and engineers. The book also deals with the perturbation theory of linear students, least square problems, eigenvalue problems, generalized eigenvalue problems, vector and matrix norms which also includes theory of unitary invariant norms.


5. “Fundamentals of Matrix Computations” by Watkins D.S
Book Review: This book deals with the basics of matrix computations, numerical linear algebra algorithms, algorithm development and their working. The book deals with francis QR algorithm, applications of gramschmidt algorithm using the concept of reorthogonalization, golubreinsch SVD algorithm derivation, eigenvalue product problem solving, Jacobidavidson method treatment, various iterative methods for linear equation solving. The book uses MATLAB to solve real world problems in electrical circuits, mass spring systems, simple partial differential equations, matrix computations and is suitable to researchers and practitioners working in the field of engineering and computer science.


6. “Introduction to Matrix Computations” by Stewart. G.W  
7. “MILESTONES IN MATRIX COMPUTATION” by Chan  
8. “Numerical Methods in Matrix Computations” by Bjorck Ake Bjorck  
9. “A Study on the Computation of the Determinants of a 3×3 Matrix” by Assen Awol  
10. “PARALLELISM IN MATRIX COMPUTATIONS” by GALLOPOULOS  
If any more book needs to be added to the list of best books on Matrix Computations Subject, please let us know.
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