New Release Books by Sarah McBride

“A brave, powerful memoir” (People) that will change the way we look at identity and equality in this country, from the activist elected as the first openly transgender state senator in U.S. history “The energy and vigor Sarah has brought to the fight for equality is ever present in this book.”—Vice President Kamala Harris “If you’re living your own internal struggle, this book can help you find a way to live authentically, fully, and freely. . . . Let it show that we are all created equal and entitled to be treated with dignity and respect.”—President Joe Biden, from the foreword Before she became the first transgender person to speak at a national political convention in 2016 at the age of twenty-six, Sarah McBride struggled with the decision to come out—not just to her family but to the students of American University, where she was serving as student body president. She’d known she was a girl from her earliest memories, but it wasn’t until the Facebook post announcing her truth went viral that she realized just how much impact her story could have on the country. Four years later, McBride was one of the nation’s most prominent transgender activists, walking the halls of the White House, advocating inclusive legislation, and addressing the country in the midst of a heated presidential election. She had also found her first love and future husband, Andy, a trans man and fellow activist, who complemented her in every way . . . until cancer tragically intervened. Informative, heartbreaking, and profoundly empowering, Tomorrow Will Be Different is McBride’s story of love and loss and a powerful entry point into the LGBTQ community’s battle for equal rights and what it means to be openly transgender. From issues like bathroom access to health care to gender in America, McBride weaves the important political and cultural milestones into a personal journey that will open hearts and change minds. As McBride urges: “We must never be a country that says there’s only one way to love, only one way to look, and only one way to live.” The fight for equality and freedom has only just begun.

This thesis explores the connection between Crouzeix's conjecture and the convergence of the GMRES algorithm. GMRES is a popular iterative method for solving linear systems and is one of the many Krylov methods. Despite its popularity, the convergence of GMRES is not completely understood. While the spectrum can in some cases be a good indicator of convergence, it has been shown that in general, the spectrum does not provide sufficient information to fully explain the behavior of GMRES iterations. Other sets associated with a matrix that can also help predict convergence are the pseudospectrum and the numerical range. This work focuses on convergence bounds obtained by considering the latter. In particular, it focuses on the application of Crouzeix's conjecture, which relates the norm of a matrix polynomial to the size of that polynomial over the numerical range, to describing GMRES convergence.