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Convex Optimization

Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.

Laying The Axe To The Root

Though the Word of God is likened to honey being savored, daily bread being enjoyed, rain bringing refreshing, and a lamp giving direction, it is also like a fire burning up the chaff, a hammer breaking the rock into pieces, and a double-edged sword piercing even to the dividing asunder of soul and spirit. A combined effect of the Word as hammer, fire, and sword should have the desired purifying effect on those areas of our lives that need cleansing! Though it is true that God desires to work with us, there may be certain things in our lives that prevent God from working with us. Then those areas have to be dealt with. Self, jealousy, pride and lust are some of the negatives that could hinder God from working with us. When we allow the Lord to lay the axe to the root and do a cleansing work in these areas of our lives, we will be better people not only for God but also for each other. Watch our online Sunday Church service live stream every Sunday at 10:30am (Indian Time, GMT+5:30). Spirit filled, anointed worship, Word and ministry for healing, miracles and deliverance. YOUTUBE: https://youtube.com/allpeopleschurchbangalore WEBSITE: https://apcwo.org/live Our other websites and free resources: CHURCH: https://apcwo.org FREE SERMONS: https://apcwo.org/sermons FREE BOOKS: https://apcwo.org/books DAILY DEVOTIONALS: https://apcwo.org/resources/daily-devotional JESUS CHRIST: https://examiningjesus.com BIBLE COLLEGE: https://apcbiblecollege.org E-LEARNING: https://apcbiblecollege.org/elearn COUNSELING: https://chrysalislife.org MUSIC: https://apcmusic.org MINISTERS FELLOWSHIP: https://pamfi.org CHURCH APP: https://apcwo.org/app CHURCHES: https://apcwo.org/ministries/churches This book may be freely used by individuals, small groups, churches, and ministries, for non-commercial purposes. These are not to be sold and must be distributed freely.

Competitive Programming 2