Ebook Download Fundamentals of Matrix Computations

Ebook Download Fundamentals of Matrix Computations

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Fundamentals of Matrix Computations

Ebook Download Fundamentals of Matrix Computations

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From the Back Cover

This new, modernized edition provides a clear and thorough introduction to matrix computations, a key component of scientific computing Retaining the accessible and hands-on style of its predecessor, Fundamentals of Matrix Computations, Third Edition thoroughly details matrix computations and the accompanying theory alongside the author's useful insights. The book presents the most important algorithms of numerical linear algebra and helps readers to understand how the algorithms are developed and why they work. Along with new and updated examples, the Third Edition features: A novel approach to Francis' QR algorithm that explains its properties without reference to the basic QR algorithm Application of classical Gram-Schmidt with reorthogonalization A revised approach to the derivation of the Golub-Reinsch SVD algorithm New coverage on solving product eigenvalue problems Expanded treatment of the Jacobi-Davidson method A new discussion on stopping criteria for iterative methods for solving linear equations Throughout the book, numerous new and updated exercises—ranging from routine computations and verifications to challenging programming and proofs—are provided, allowing readers to immediately engage in applying the presented concepts. The new edition also incorporates MATLAB to solve real-world problems in electrical circuits, mass-spring systems, and simple partial differential equations, and an index of MATLAB terms assists readers with understanding the basic concepts related to the software. Fundamentals of Matrix Computations, Third Edition is an excellent book for courses on matrix computations and applied numerical linear algebra at the upper-undergraduate and graduate level. The book is also a valuable resource for researchers and practitioners working in the fields of engineering and computer science who need to know how to solve problems involving matrix computations.

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About the Author

DAVID S. WATKINS, PhD, is Professor in the Department of Mathematics at Washington State University. He has published more than 100 articles in his areas of research interest, which include numerical linear algebra, numerical analysis, and scientific computing.

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Product details

Hardcover: 644 pages

Publisher: Wiley; 3 edition (July 6, 2010)

Language: English

ISBN-10: 0470528338

ISBN-13: 978-0470528334

Product Dimensions:

6.4 x 1.6 x 9.3 inches

Shipping Weight: 2.3 pounds (View shipping rates and policies)

Average Customer Review:

4.7 out of 5 stars

8 customer reviews

Amazon Best Sellers Rank:

#275,510 in Books (See Top 100 in Books)

I took a numerical linear algebra course from Dr. Watkins while a graduate student at WSU. We used this as our text. This book is one of the best written and most useful books I own. I still regularly go back to it when I need to work something out. The tone is conversational but precise. The topics flow together very nicely. There is a wonderful spread of different ideas presented... From numerical linear algebra to PDEs and calculus - all of which is applied. Great!Most importantly (as far as I'm concerned), the focus of this text is on actually *doing* the math. There are certainly proofs in this book but there isn't a stupid amount of theory. It is very down to earth. I used Matlab while in school - and am not porting all of the algorithms I wrote for the class into R.Highly recommended! {I would also suggest getting 'Matrix Analysis' by Johnson and Horn. But the Matrix Analysis book doesn't have nearly as much as far as application.}

After looking at a few books on matrix computations I believe that that Fundamentals of Matrix Computations by David S. Watkins does the best job of balancing theory and practice. Being a self learner I found this book easy to read, provided enough practical advice to write high quality algorithms, and provided a good foundation for more advanced subjects. Be sure to at least read through all the exercises since they often cover new material not discussed in the main section. Its worth working through many of the exercises and enough information is provided in general to validate your solution. As a self learner I'm often frustrated with some books that provided exercises but no way to know if you're right or not. I even went on to write a linear algebra library in Java which uses this book as the primary reference for a few of the algorithms, search for EJML if you are curious.Golub and Van Loan's book covers much more material than Watkins but in a much more terse fashion. By terse I don't mean that Golub/Van Loan's is hard to understand, it is a very good book, but it is terse. I tend to use Golub/Van Loan's book more as a reference if I need to look something up quickly or if the material is not covered else where. There are also some situations important details are not mentioned in that book but are mentioned in Watkins' book. I have also looked though Numerical Linear Algebra by Trefethen and Bau. That book provided a good general high level overview of the basic subjects and in few cases was easier to understand, but I found it on the whole lacking in detail and often did not discuss important implementation issues.(This review is for the 2nd Edition. I have yet to look at the 3rd.)

better than listening to some lectures. More examples would be useful

I love the format of this book, it explains a topic from the ground up and you understand the roots of the problem and the roots of the solutions. In my case, I was specifically looking for a book covering orthogonal transformations and the fastest way to update existing orthogonal-decompositions e.g. QR. The author does a great job explaining the use cases for employing these transformations and without taking a lot for granted explains from the ground up how they work i.e. very nicely explains Givens rotations and Householder reflectors. This book offers the best introduction to the topic whereas IMO Golub's requires some level of familiarity with the subjects already.I'm working in a High-Performance implementation of an algorithm whose main bottlenecks are related to matrix computations. This book along with Golub's have been by my side since I started the project. I highly recommend it.

This book does quite the achievement of giving a very clear and rigorous presentation of the Arnoldi and implicitely restarted Arnoldi processes, which are far from being easy to understand. There are enough proofs to understand the theory and a lot of exercices to make you manipulate the concepts. In definitive, this is an excellent book!

when i first saw this book, i was very excited. i would have rated it 5 stars at that time. It's a much easier read than Golub's "matrix computations" and Demmel's "Applied Numerical Linear Algebra".but then I saw Trefethen and Bau's "Numerical Linear Algebra", and I was totally amazed by that book. By comparison, this book by Watkins can only be rated 4 stars. It just doesn't match up to Trefethen's book in terms of elegance, smoothness, intuitiveness, and more importantly, focusing on the essence instead of being buried in the details.if you are really interested in the topic of matrix computation, I suggest you start with Trefethen's book, and use Golub's book as reference later on.

I used this book to learn iterative methods and absolutely loved it. The explanations are clear and the coverage of techniques is very comprehensive. The chapters on SVD (see cover illustration) and eigenvalue decomposition are also very well explained. I found it to be engaging and more approachable for a novice than Golub and van Loan (which by the way, you *should* read after reading Watkins :-))

Concepts are explained lucidly. The exercise problems are interesting. It would be a good idea to read this book first before moving on to books like the one by Golub/ Van Loan. Useful for self study...

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Fundamentals of Matrix Computations PDF

Fundamentals of Matrix Computations PDF

Fundamentals of Matrix Computations PDF

Fundamentals of Matrix Computations PDF

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Free Download The Heart Forger: The Bone Witch, Book 2

Free Download The Heart Forger: The Bone Witch, Book 2

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The Heart Forger: The Bone Witch, Book 2

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Audible Audiobook

Listening Length: 13 hours and 39 minutes

Program Type: Audiobook

Version: Unabridged

Publisher: Blackstone Audio, Inc.

Audible.com Release Date: March 20, 2018

Whispersync for Voice: Ready

Language: English, English

ASIN: B078NXTSNK

Amazon Best Sellers Rank:

I received a copy of this book in exchange for my honest opinion.The Heart Forger is a sequel to The Bone Witch. You can find my review for The Bone Witch here.The Heart Forger picks up where The Bone Witch left off: There is a war looming over the kingdoms, and Tea wants revenge after the love of her life is taken and she is exiled.The first book, The Bone Witch, ended on a cliffhanger. I would highly recommend re-reading or skimming The Bone Witch before starting The Heart Forger if the plot is foggy for you.Tea is still an amazing character. She matured over The Bone Witch, and this book continues to show her growth. She isn’t perfect, and she knows that she has made mistakes and has to come to terms with them. She has her demons, and she is strong in her belief that what she is doing is right. She is such a grey character. She could easily be a villain as she could be a hero. I love that about her. I found myself constantly wanting to know what was happening and why Tea was reacting in the violent and ruthless ways that she was. That struggle between hero and villain kept me engaged with the story.The chapters follow the same style of The Bone Witch, alternating between past and present to show how Tea ended up where she is in the modern chapters. I really appreciate learning about what’s going on in that manner because the “past events” chapters directly correspond to what’s happening in the present and shed light on why Tea is doing what she’s doing.The ending in The Heart Forger, compared to The Bone Witch was much more appreciated. It wasn’t a direct cliffhanger, and ended in a way that I will be okay with waiting for the next book. I highly recommend this book for those that loved The Bone Witch.

Bear with me as I struggle through this review. I am not entirely positive that I have good enough words to describe how I felt about this book.The Heart Forger is told in the same way as The Bone Witch was. There is the present day point of view of the bard who is following Tea around while she takes care of business. And then the flashback portions where Tea is telling her story to the bard.I was so enthralled by this book. I think that this one might be better than the first one. If only because it felt to me like it had more action. The story takes place over a shorter amount of time and focuses less on lessons and parties and learning the basics of being an asha.Tea has now taken over Lady Mykaela's job of putting down daeva because she has grown far too weak to do it herself. She can't even leave Odalia because the nearness to her still missing heartsglass is what is keeping her going at all.The plot of this book surrounds the Faceless going after the the direct descendants of the Five Great Heroes with their sleeping sickness. Prince Kance is the last to fall to the sleeping sickness and the old heart forger has figured out a cure, but has also mysteriously gone off the radar after going to Daanoris.So the part of this book that is Tea's story basically is their journey to Daanoris to find the heart forger and save Prince Kance. And the present part of this story, if you recall from the end of the last book what she was off to do, was to overthrow Daanoris.So what did I love about this book? First of all, the characters. This book definitely contains squad goals. Tea, Kalen, Fox, Zoya, Shadi, Inessa, Likh, and Khalad all go to Daanoris to find the old heart forger. I really liked this whole little group! I liked how they worked together and trusted each other. They were all just so fun to read about! I love them.I loved the romance in this book as well. I love Tea and Kalen together. This book kinda tells you where in the first book they started falling for each other and now I want to go read The Bone Witch AGAIN just so I can see if I can tell. This is a book where pretty much everyone ends up kind of paired up, but I liked all the pairings! There is an m/m pairing and also an f/f one.I need the conclusion to this series SO BADLY (I'm assuming it's a trilogy??) to find out what Tea did to find herself in the situation she is in. Because whatever it is, I'm positive that she is being framed or something because I feel like she hasn't done anything bad so far that wasn't called for or justified or somehow excusable.Ooh! I loved the azi too! I thought the connection that Tea had with it was so cool. I thought the other daeva were cool too in the bard's point of view, but the azi was definitely the coolest.This book is faster than the first one, it has more action, it has squad goals, it's got a little bit of heartbreak thrown in at the end, and this book ends in much the same way as the first one. Basically, Tea is leading her daeva on to another kingdom that she's got beef with and we still don't know what happened to Kalen.I would definitely recommend this series if you're looking for books with necromancy, politics, magic, and did I mention SQUAD GOALS?!

AHHHHHHHHHHHHH OH MY GOD. This book was even better than the first one. I loved the development of the plot and romantic subplots that laced their way through the book. Every twist and turn kept me hooked for the next. There was one subplot that left me confused. The introduction of this couple left me very befuddled. I thought I had missed the pages where they had got together, but there weren't any. One chapter they were apart and the next they were together. Other than that I really enjoyed this sequel and I cannot wait for the third book to come out.

At the end of the first book, I knew I needed to get the second. In fact, I'd already read it in bits and pieces. When I finally bought this book, it was a fabulous experience.In this book, more strongly than the first, the narrative structure closely resembles the one used for Name of the Wind - we have young Kvothe, headstrong and powerful, blundering his way through, not unlike our heroine Tea here. In this book, it is more evident that she has a dark past, and we see the important people in her life from before and after whatever murder she was supposed to have done.In the Kingkiller Chronicles, we know that Kvothe has indeed killed a king and there's a war going on. In this book, the war is happening in the past and in the present. I found Mykaela to be an interesting figure.

Just wow! I absolutely adored the first book and this is so much more!! We start off right where we left off from the bone witch... Lady tea telling her story of what happened to her, we learn so much more about tea and the other characters. We see the first signs of Tea’a Dark rot and what she’s been through for such a thing to happen. There’s a lot of drama and oohs and ahhs. Kalen, oh my Kalen. That is all about him! I love that man! Really looking forward to Shadowglass!

The Heart Forger: The Bone Witch, Book 2 PDF
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The Heart Forger: The Bone Witch, Book 2 PDF

The Heart Forger: The Bone Witch, Book 2 PDF

The Heart Forger: The Bone Witch, Book 2 PDF

The Heart Forger: The Bone Witch, Book 2 PDF

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